Participants

Muhammad Waseem Akhtar (Pakistan)

Affiliation COMSATS Institute of Information Technology, Islamabad
Country Pakistan

Muhammad Talha Imran (Pakistan)

Affiliation NUST-SEECS
Country Pakistan

Ubaid Zaman (Pakistan)

Affiliation Qauid-e-Azam university Islamabad Pakistan
Country Pakistan

Sajid Ali (Pakistan)

Affiliation NUST-CAMP
Country Pakistan
Talk Title Group Foliation Approach
Talk Abstract Group Foliations
Poster Title Group Foliations

Mohsin Jamil (Pakistan)

Affiliation University of the Punjab Lahore
Country Pakistan

Ghulam Shabbir (Pakistan)

Affiliation GIK Institute
Country Pakistan
Talk Title Proper Weyl symmetry in space-times
Talk Abstract

Rohollah Bakhshandeh Chamazkoti (Iran)

Affiliation Department of Mathematics, Faculty of Basic science, Babol University of Technology, Babol, Iran
Country Iran
Talk Title Symmetry analysis of 2D nonlinear evolution equations
Talk Abstract We want to apply a Lie-algebraic classification of 2D nonlinear evolution equations which admits non-trivial Lie point symmetries. First we look at admissible Abelian symmetry algebras and classify all of them according their dimension and their rank. Further, we shall determine this differential equation in which case is linearizable (equivalent under an equivalence transformation to a linear equation). We also give a detailed discussion of our results for the two semi-simple Lie algebras sl(2,R) and so(3).

Jamil Ahmed (Pakistan)

Affiliation Quaid-i-Azam university, Islamabad
Country Pakistan

Vasos Pavlika (UK)

Affiliation SOAS, University of London
Country UK
Talk Title Using a Dirichlet boundary condition to design axisymmetric ducts for incompressible rotational flow using the logarithm of the speed the
Talk Abstract In this paper a numerical algorithm is described for solving the boundary value problem associated with axisymmetric, inviscid, incompressible, rotational (and irrotational) flow in order to obtain duct wall shapes from prescribed wall velocity distributions. The governing equations are formulated in terms of the stream function psi and the function phi as independent variables where for irrotational flow phi can be recognized as the velocity potential function, for rotational flow phi ceases being the velocity potential function but does remain orthogonal to the stream lines. A numerical method based on finite differences on a uniform mesh is employed. The technique described is capable of tackling the so-called inverse problem where the velocity wall distributions are prescribed from which the duct wall shape is calculated, as well as the direct problem where the velocity distribution on the duct walls are calculated from prescribed duct wall shapes. The dependent variable of the governing second order partial differential equation is log(q) where q is the speed of the fluid. Numerical results for the case of the Dirichlet boundary conditions will be given. A downstream condition is prescribed such that cylindrical flow, that is flow which is independent of the axial coordinate, exists. The inlet axial velocity profile is prescribed such that vorticity is present and is of the form a=ay+b , where a and b are constants.

Sergey Zuev (Russia)

Affiliation Belgorod State Technological University named after V.G.Shukhov
Country Russia
Talk Title A new technique to find PDE solutions explicitly
Talk Abstract An idea is to avoid the limitation from the derivatives in the PDE's and try to find the solutions. The limitations are included after the solution in general form is found. Using this technique the general solution for such PDE's as heat equation and continuity ecuation were found and will be presented. The appointed technique is able to give in-depth study of Euler and then Navier-Stockes equations.
Poster Title The general solution of continuity equation

Usman Gillani (Pakistan)

Affiliation Quaid_e_Azam University Islamabad
Country Pakistan

Janpou Nee (Taiwan)

Affiliation General Education Center, ChienKuo Technology University
Country Taiwan
Talk Title Location of Critical Points of Elliptic Equations
Talk Abstract In this article, we study the solution behavior of the Elliptic equations of the steady states of Turing system. In particular the location of the extremum of the positive solution will be given. Our results indicates that the diffusion coefficient determined the extreme of the solution, moreover, the location of the extremum will be given.

Qazi Mahmood Ul-Hassan (Pakistan)

Affiliation HITEC University Taxia Cantt.
Country Pakistan
Talk Title TBA
Talk Abstract

Davood Momeni (Kazakhstan)

Affiliation Eurasian International Center for Theoretical Physics - Eurasian National University
Country Kazakhstan
Talk Title Sturm-Liouville technique for study of a model of the mixed holographic superconductors
Talk Abstract In this talk we present the results of variational Sturm-Liouville technique of minimization to study analytically the basic properties of a class of the holographic superconductors with a mixed phase of s+p.

Subhrajit Modak (India)

Affiliation Senior Research Fellow
Country India
Talk Title Tracking down localized modes in PT-symmetric Hamiltonians under the influence of a competing nonlinearity
Talk Abstract The relevance of parity and time reversal (PT)-symmetric structures in optical systems is known for sometime with the correspondence existing between the Schrodinger equation and the paraxial equation of diffraction where the time parameter represents the propagating distance and the refractive index acts as the complex potential. In this talk, I systematically analyze a normalized form of the nonlinear Schrodinger system with two new families of PT-symmetric potentials in the presence of competing nonlinearities. We generate a class of localized eigenmodes and carry out a linear stability analysis on the solutions. Inparticular, we find an interesting feature of bifurcation charaterized bythe parameter of perturbative growth rate passing through zero where a transition to imaginary eigenvalues occurs.

MUHAMMAD MOOSA (Pakistan)

Affiliation COMSATS Institute of Information Technology, Islamabad
Country Pakistan

Andrew Gratien Johnpillai (Sri Lanka)

Affiliation Eastern University, Sri Lanka
Country Sri Lanka
Talk Title Travelling wave group-invariant solutions and conservation laws for theta-Equation
Talk Abstract We study a class of nonlinear dispersive models called the theta-equations from the Lie group-theoretic point of view. The Lie point symmetry generators of the class of equations are derived. Using the optimal system of one-dimensional subalgebras constructed from these symmetry generators, we obtain symmetry reduction and travelling wave group-invariant solutions for the underlying equation. Moreover, we construct conservation laws for the class of equations by making use of the partial Lagrangian approach and the multiplier method. The underlying equation is of odd order and thus not variational. To apply the partial variational method a nonlocal transformation u = v_x is used to raise the order of the given class of equations. We show that the existence of nonlocal conservation laws for underlying equation is possible only if theta = 1/3. In the multiplier approach, we obtain conservation laws for the given class of equations and a special case of the equation when theta =1/3 in which the first-order multipliers are considered.

abdelhamid mohammed djaouti (Algeria)

Affiliation university Hassiba benbouali, Chlef
Country Algeria
Talk Title Fractional differential equations in scales of Banach spaces
Talk Abstract My work presents a fundamental result in the theory and the application of ordinary differential equations and partial differential equations. Our concentration is based on the method of Picard. We examined certain fractional differential equations in an abstract setting by entering into scale of Banach spaces in a simpler form.

Hassan Azad (Saudi Arabia)

Affiliation KFUPM
Country Saudi Arabia
Talk Title Closed Orbits of Real Algebraic Groups
Talk Abstract TBA

Mazhari Najmehalsadat (Kazakhstan)

Affiliation Eurasian International Center for Theoretical Physics, Eurasian National University
Country Kazakhstan
Talk Title Sturm-Liouville technique for study of a model of the mixed holographic superconductors
Talk Abstract In this talk we present the results of variational Sturm-Liouville technique of minimization to study analytically the basic properties of a class of the holographic superconductors with a mixed phase of s+p.

Esmaeel Asadi (Iran)

Affiliation Institute for advance studies in Basic Science (IASBS)
Country Iran
Talk Title TBA
Talk Abstract TBA

Zeeshan Yousaf (Pakistan)

Affiliation Department of Mathematics, University of the Punjab, Lahore
Country Pakistan
Talk Title Stability of the Charged Spherical Dissipative Collapse in $f(R)$ Gravity
Talk Abstract In this paper, we analyze the dynamical instability of the charged isotropic spherical symmetric matter distribution which collapses non-adiabatically in Carrol-Duvvuri-Trodden-Turner $f(R)$ model background. The perturbation scheme is applied on the metric variables which automatically impart perturbations on the selected $f(R)$ model as well as on the matter variables. We find that the adiabatic index $\Gamma$ plays a key role in defining the dynamical instability ranges at both Newtonian as well as post-Newtonian regimes. It is concluded that $\Gamma$ depends upon the higher curvature terms of CDTT model, radial density profile, electromagnetic field and pressure of the fluid, while heat flux does not affect the dynamical instability limits. We also explore our results asymptotically with general relativity limits.

Muhammad Zaeem Ul haq Bhatti (Pakistan)

Affiliation Department of Mathematics, University of the Punjab, Lahore
Country Pakistan
Talk Title Stability of the Expansion-Free Charged Cylinder
Talk Abstract We study the instability of cylindrically symmetric expansion-free anisotropic geometry in the presence of electromagnetic field. For smooth matching of the interior geometry with the exterior, junction conditions are formulated. The perturbation scheme is taken into account to describe the dynamical equation and categorize the Newtonian, post-Newtonian as well as post-post Newtonian regime. It is concluded that physical parameters, i.e., energy density, principal stresses of the fluid and electric charge control the stability of the cylinder.

Dr. Hafiza Rizwana Kausar (Pakistan)

Affiliation University of Central Punjab, Lahore
Country Pakistan

Mabrouk Benhamou (Morocco)

Affiliation ENSAM, Moulay Ismail University
Country Morocco
Talk Title Schrödinger equation approach to the unbinding transition of biomembranes and strings : Rigorous study
Talk Abstract Authors : Mabrouk Benhamou, Radouane El Kinani, Hamid Kaidi Abstract : In this work, we consider two interacting manifolds (strings or biomembranes) that may exhibit an unbinding transition from a bound state to an unbound one. It is well-known that the strings and biomembranes have a similar scaling behavior, and then, it is sufficient to consider only the strings problem. To this end, use is made of the so-called transfer matrix method, based on the resolution of a Schrödinger equation. To make explicit calculations, we suppose that the two manifolds interact with a q-generalized Morse potential we introduce. First, we determine exactly their solutions that are found to be bound states. Second, from the exact ground state energy, we obtain the expression of the unbinding temperature in terms of the parameters of the potential. Finally, we compute the contact probability that is the probability to find the two interacting manifolds at a (finite) distance each other. This probability enables us to extract various diverging length-scales, which are the average separation between manifolds and their roughness. The associated roughness and contact exponents are exactly deduced, whose values are very close to those derived using the field-theoretical Renormalization-Group.

RABIA SALEEM (Pakistan)

Affiliation Dept. of Mathematics,University of the punjab
Country Pakistan
Talk Title Thermodynamics in Non-linear Electrodynamics with Anisotropic Universe
Talk Abstract In this work, we consider the framework of non-linear electrodynamics in Bianchi type I universe model composed of matter and electromagnetic field. We deal with electric and magnetic universe separately. In this scenario, we calculate the electric and magnetic fields and their corresponding matter densities using two particular types of interaction terms. We also check the validity of generalized second law of thermodynamics in both universe models enclosed by apparent horizon. It turns out that this law holds on the apparent horizon for a particular range depending upon the parameters. Finally, we discuss the deceleration and statefinder parameters to check the viability of these models.

Naeem Qureshi (Pakistan)

Affiliation AJK University
Country Pakistan
Talk Title TBA
Talk Abstract TBA

Muhammad Sharif (Pakistan)

Affiliation University of the Punjab
Country Pakistan
Talk Title Noether Symmetries in Modified Scalar-Tensor Gravity
Talk Abstract In this work, we explore the coupling function and the field potential using Noether symmetry approach in a modified scalar-tensor gravity by introducing a non-minimal coupling of scalar field with torsion scalar. For this purpose, we consider the FRW universe model filled with perfect fluid as the matter source. We evaluate the corresponding conserved quantities and find solutions of the corresponding field equations using this approach.

Mohammad Asif (Pakistan)

Affiliation Dept of Physics, COMSATS Institute of Information Technology Islamabad
Country Pakistan
Talk Title Special Relativity and 4-Space in view of Maxwells equations.
Talk Abstract Abstract: The talk will address the one of Fundamental questions in Physics “the nature of Space”. The space is defined in number of ways by Scientists, based on existence of matter (in time -space) at Large distances (Galactic Scale) to Planks Length (1.616199(97)×10?35m) (Particle Scale). Theory of Relativity changed our perspective of space and time, from a fixed set of space-time points (Galilean space) to dynamic space (Minkowski space). Maxwell’s Equations played a pivotal role in founding such a revolutionary theory. This lecture will address the “definition of space” in view of existence of EM waves in space.

saira waheed (pakistan)

Affiliation GR and cosmology
Country pakistan
Talk Title Scalar-Tensor Cosmology and Generalized Noether Symmetries
Talk Abstract This work is devoted to study the conserved quantities of some homogeneous universe models via well-known Noether symmetry technique in a scalar-tensor gravity. For this purpose, we assume matter distribution to be perfect fluid and take the generalized form of symmetry generator with coefficients depending upon the higher order time rates of canonical coordinates. Finally, the corresponding solutions are found by exploring the form of coupling function and scalar field potential.

Michael Tsamparlis (Greece)

Affiliation Professor, University of Athens
Country Greece
Talk Title Geometry of Lie symmetries
Talk Abstract We prove two theorems which show how the Lie symmetries of autonomous equations of motion of a dynamical system moving in a Riemannian space under the action of a potential depending on ly on the coordinates are related to the collineations of the space. We extent the results to the case of second order autonomous partial differential equations of a certain general class. We discuss applications of the general results in Newtonian Physics and in Cosmology.

Mostepha Naceri (Algeria)

Affiliation PhD Student
Country Algeria
Talk Title Triple Positive Solutions For System of Nonlinear Fourth- Order Four Point Boundary Value Problem.
Talk Abstract In this work, we apply the Legget-Williams fixed point theorems to obtain sufficient condition for the existence of at least three positive solutions of boundary value problems for systems of fourth-order ordinary differential equations. {u^((4) )+?(@a_1 u^''+b_1 u=f(t,u,v)@)^ ?{u^((4) )+?(@a_1 u^''+b_1 u=f(t,u,v)@)^ ?

Muhammad Azam (Pakistan)

Affiliation University of Education, Lahore
Country Pakistan
Talk Title Spherical Thin-Shell Wormholes and Modified Chaplygin Gas
Talk Abstract The purpose of this talk is to construct spherical thin-shell wormhole solutions through cut and paste technique and investigate the stability of these solutions in the vicinity of modified Chaplygin gas. The Darmois-Israel formalism is used to formulate the stresses of the surface concentrating the exotic matter. We explore the stability of the wormhole solutions by using the standard potential method. We conclude that there exist more stable as well as unstable solutions than the previous study with generalized Chaplygin gas.

Radhakrishnan Nair (India)

Affiliation University college(retired),Trivandrum,Indiam
Country India
Talk Title Geometry of derivatives differential equationstions
Talk Abstract Starting from Liebnitz's definition of derivative,geometries associated with derivatvies of different orders and powers are investigated.Further we examine how geometrical structures emerge with different combinations of higher derivatives and powers of differential equations.Then symmetries of differential equations are discussed in the background of relevant geometries.

Abdul Wahab (Pakistan)

Affiliation COMSATS Institute of Information Technology
Country Pakistan
Talk Title Resolution and Localization Analysis of Topological Derivative Based Imaging
Talk Abstract We consider the inverse problem of identifying the location of a small acoustic / elastic inclusion in a homogeneous isotropic background medium from boundary measurements of the scattered field. The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms. The concept of topological derivative (TD), initially proposed for shape optimization has been recently applied to the imaging of small anomalies. A trial inclusion is created in the background medium (inclusion free medium) at a given search location. Then, a discrepancy functional is considered. The search points that minimize the discrepancy between data and their fit are then sought for. In order to find its minima, the misfit t is expanded using the asymptotic expansions due to the perturbation of the displacement field in the presence of an inclusion versus its characteristic size. The first order term in the expansion is then referred to as TD of the misfit which synthesizes its sensitivity relative to the insertion of an inclusion at a given search location. The point at which TD attains its maximum is thought of as the true location of the inclusion. However, this is not true in general. Further, its use in the context of imaging has been heuristic and lacks mathematical justification. In this work, we show that its maximum may not be at the location of the true inclusion. Further, it is revealed that in elastic media the resolution is low due to the coupling of pressure and shear wave modes having different wave speeds and polarization directions. Nevertheless, the coupling terms responsible for this degeneracy can be canceled out using a modified imaging framework. A weighed imaging functional is defined using the concept of a weighted Helmholtz decomposition. It is proved that the modified detection algorithm provides the true location with a resolution limit of the order of half a wavelength.

iqra yousaf (pakistan)

Affiliation nust
Country pakistan

El KINANI EL HASSAN (Morocco)

Affiliation FST- Errachidia Moulay Ismail university
Country Morocco
Talk Title Lie symmetry analysis of time fractional Kolmogorov equation
Talk Abstract The Lie point symmetries of time fractional Kolmogorov equation are constructed. It is shown that these symmetries will be used to construct some exact solutions.

Ubaid Zaman (Pakistan)

Affiliation Qauid-e-Azam university Islamabad Pakistan
Country Pakistan

Sohail Ahmed Dayo (Pakistan)

Affiliation National University of Sciences & Technology, Islamabad
Country Pakistan
Talk Title TBA
Talk Abstract TBA

ammara bhatti (Pakistan)

Affiliation SNS
Country Pakistan

rida ahmad (Pakistan)

Affiliation SNS
Country Pakistan

khadeeja afzal (Pakistan)

Affiliation SNS
Country Pakistan

karim belhadj (Morocco)

Affiliation Moulay Ismaïl university, Faculty of Sciences and Technology Errachidia
Country Morocco
Talk Title EXISTENCE AND MULTIPLICITY RESULTS FOR ELLIPTIC
Talk Abstract By applaying the Ricceri's three critical points theorem, we show the existence of at least three solutions to the following elleptic problem: \begin{equation*} \begin{gathered} -div(a(x, \nabla u))+|u|^{p(x)-2}u=\lambda f(x,u)), \quad \text{in }\Omega, \\ a(x, \nabla u).\nu=\mu g(x,u), \quad \text{on } \partial\Omega, \end{gathered} \end{equation*} where $\lambda$, $\mu \in \mathbb{R}^{+},$ $\Omega\subset\mathbb{R}^N(N \geq 2)$ is a bounded domain of smooth boundary $\partial\Omega$ and $\nu$ is the outward normal vector on $\partial\Omega$. $p: \overline{\Omega} \mapsto \mathbb{R}$, $a: \overline{\Omega}\times \mathbb{R}^{N} \mapsto \mathbb{R}^{N},$ $f: \Omega\times\mathbb{R} \mapsto \mathbb{R}$ and $g:\partial\Omega\times\mathbb{R} \mapsto \mathbb{R}$ are fulfilling appropriate conditions.

Hina Dutt (Pakistan)

Affiliation National University of Sciences and Technology, Islamabad
Country Pakistan
Talk Title Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms
Talk Abstract Meleshko presented a new method for reducing third order autonomous ordinary differential equations (ODEs) to Lie linearizable second order ODEs. we extend Meleshko's procedure to the fourth order ODEs in the cases that the equations do not depend explicitly on the independent or the dependent variable (or both) to reduce it to third (respectively second) order equations. Once the order is reduced we can apply the Ibragimov Meleshko (or Lie) linearization test. If the reduced third (or second) order ODE satisfies the Ibragimov Meleshko (or Lie) linearization test, then after finding a linearizing transformation, the general solution of the original equation is obtained by quadrature. So this method is effective in the sense that it reduces many ODEs, that cannot be linearized, to lower order linearizable forms.

Muhammad Ziad (Oman)

Affiliation Department of Mathematics and Statistics, College of Science, Sultan Qaboos University
Country Oman
Talk Title An Indirect Way of Approaching to Solutions of Einstein Field Equations
Talk Abstract The non-linearity of the Einstein field equations and their being an highly underdetermined system, it is impossible to find their solution in a closed analytic form. Therefore their solutions are obtained, usually by making some assumptions, either on the geometry or on the matter contents of the spaetime manifolds, M. The present attempt is to discuss an indirect way of finding solutions by putting restrictions on the geometry of the manifold. These restrictions could be made via any of the tensors: the metric, the Ricci or on the matter tensor appearing in the field equations. Earlier, by assuming that the action of so(3) on M is such that the spacelike orbits are two spheres, the metric tensor was reduced to the canonical form having three unknown functions of two variables. Then further requirement that the Lie derivative of the resulting metric tensor along a vector field be zero, gives rise to a system of ten coupled quasi linear partial differential equations to give seven unknown functions, four, the components of the Killing vector field, depending on four space-time variables and three unknown functions of two variables appearing in the metric tensor. The solution of these equations provided all spherically symmetric metrics, admitting Lie algebras of dimensions greater than or equal to 6 [Asghar Qadir and M. Ziad]. Here we will discuss the above system by replacing the metric tensor components by the Ricci tensor components, which are four independent functions of two variables as compared to the three metric functions in the above system. A complete solution of the system will be discussed. Later the related constraints in a few cases will be solved to demonstrate how can one obtain solutions of the Einstein field equations in an indirect way.

Imran Naeem (Pakistan)

Affiliation LUMS
Country Pakistan
Talk Title Analytical solutions of time space fractional, advection-dispersion and Whitham-Broer-Kaup equations
Talk Abstract We study time-space fractional advection-dispersion equation and time-space fractional Whitham-Broer-Kaup equation that have a significant role in hydrology. We introduce suitable transformations to convert fractional order derivatives to integer order derivatives and as a result these equations transform into partial differential equations. Then the Lie symmetries and corresponding optimal systems of the resulting PDEs are derived. The symmetry reductions and exact independent solutions based on optimal system are investigated which constitute the exact solutions of original fractional differential equations.

Zahid Rehman (pakistan)

Affiliation Govt Degree College, Dinga (Gujrat)
Country pakistan

Muhammad Nazim Tufail (PAKISTAN)

Affiliation QUAID-E-AZAM UNIVERSITY, ISLAMABAD
Country PAKISTAN
Talk Title TBA
Talk Abstract TBA

Muhammad Nadeem (Pakistan)

Affiliation SEECS-NUST
Country Pakistan

Suhail Khan (Pakistan)

Affiliation Abdul Wali Khan university mardan Pakistan
Country Pakistan

irfan Mahmood (France)

Affiliation Mathematics, LAREMA, University of Angers, France
Country France
Talk Title zero curvature representation and Darboux transformations of Noncommutative Painlevé second equation
Talk Abstract The extension of Painlevé equations to noncommutative spaces has been considering extensively in the theory of integrable systems and it is also interesting to explore some remarkable aspects of these equations such as Painlevé property, Lax representation, Darboux transformation and their connection to well know integrable equations. This paper is devoted to the Lax formulation, Darboux transformation and Quasidetermi nant solution of noncommutative Painlevé second equation which is recently introduced by V. Retakh and V. Rubtso

Khalid Saifullah (USA)

Affiliation Present: Harvard University, Permenant: Quaid-e-Azam University
Country USA
Talk Title An Open Problem in Symmetries
Talk Abstract An unsolved problem arising from symmetries in general relativity will be presented.

Abdullah Malik (Pakistan)

Affiliation COMSATS Institute of Information Technology
Country Pakistan

Muhammad Kamran (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt
Country Pakistan

Anwar ul-Haque (Malaysia)

Affiliation International Islamic University of Malaysia (IIUM)
Country Malaysia
Talk Title Some Similarity Considerations in Allometric Scaling of Deformable Symmetric Bodies
Talk Abstract Buoyancy force applied on deformable symmetric bodies can be estimated by using Archimedes Principle. Such bodies like ellipsoidal ones have high volume to surface ratio and are isometrically scaled for mass, length, area and volume to follow square cube law. For scaling up such bodies, it is worthwhile to find out the scaling relationship between the other physical quantities that represent thermodynamic, structural and inertial response etc. So, dimensionless similarities to find an allometric scale can be developed by using Bukingham PI theorem which utilizes physical dimensions of important parameters. Based on this fact, physical dependencies of buoyancy system have been reviewed to find the set of physical variables for deformable symmetric bodies filled with expandable gas like helium. Due to change in atmospheric conditions, this gas changes its volume and this change can effect the stability of elongated bodies on ground as well as in air. In the analysis, it is assumed that deformable bodies are placed inside an elongated cigar shaped bag such that there is no effect of external force i.e. drag and kinetic loads acting on the surface. The similarity criteria so obtained is based on non-dimensionalisation which needs to be considered for scaling up such bodies.

Gülden Gün Polat (Turkey)

Affiliation Istanbul Technical University
Country Turkey
Talk Title Linearization with Sundman and nonlocal transformations for quadratic Lienard type equation
Talk Abstract This paper surveys lambda-symmetries, first integrals, nonlocal transformations and linearization of quadratic lienard type equation via S-transformations that are proposed by Muriel and Romero. The goal here is to show that S-linearizable conditions of a specific form of quadratic lienard equation which is defined as the form x''+f(x)x'^2+g(x)=0, where f(x) and g(x) are arbitrary function of x. This study consist of two section that are associated with each other.Sundman and nonlocal transformations of quadratic lienard equation are emphasized in the first section. Lambda-symmetries are analyzed for the same equation in the another section.

Anas Ramzan (Pakistan)

Affiliation Lecturer at University of Wah, Wah Cantt. PAKISTAN.
Country Pakistan

Amjad Ali (Pakistan)

Affiliation UET Peshawar
Country Pakistan

Shamaila Rani (Pakistan)

Affiliation Punjab University, Lahore
Country Pakistan

Naseer Asif (Pakistan)

Affiliation University of Management and Technology
Country Pakistan
Talk Title On Generalized Nonlocal Boundary Value Problems
Talk Abstract TBA

Ali Mardan (Pakistan)

Affiliation UMT, Lahore.
Country Pakistan
Talk Title Extension of Fifth-Order Parallel Algorithms to Approximate Multi-Dimensional Diffusion Equations in Real Domain
Talk Abstract In this paper, a family of ?fifth-order parallel algorithms are developed to approximate spatial derivatives in multidimensional diffusion equations. In these methods Pade'?s approximation is used for matrix exponential function. These methods are L-acceptable, do not require the use of complex arithmetic and tested on Multi-dimensional diffusion equations, with constant coefficients, subject to homogeneous boundary conditions and time dependent boundary conditions. It is observed that the results obtained through these methods are highly accurate and stable.

Wajiha Javed (Pakistan)

Affiliation University of the Punjab, Lahore
Country Pakistan
Talk Title Hawking’s Phenomenon via Dirac Particles Tunneling
Talk Abstract This talk is devoted to describe some significant characteristics of Hawking’s radiation spectrum by considering charged fermions tunneling through event horizon of axially symmetric rotating black holes having electric and magnetic charges. For this purpose, we apply the semiclassical WKB approximation to the general covariant Dirac equation and evaluate the tunneling probabilities of outgoing charged particles as well as their corresponding Hawking temperatures.

Muhammad Zubair (Pakistan)

Affiliation University of the Punjab, Lahore
Country Pakistan
Talk Title Energy conditions constraints on modified theories involving curvature matter coupling
Talk Abstract We present the modified theories involving non-minimal matter geometry coupling. We mainly focus on Lagrangians having contribution from the matter energy momentum tensor namely f(R, T) and f(R,T,R_{\mu\u}T^{\mu\nu}) . The corresponding energy conditions are derived which appear to be more general and can reduce to the familiar forms of these conditions in general relativity and f(R) theories. The general inequalities are presented in terms of recent values of Hubble, deceleration, jerk and snap parameters. In particular, we use specific models recently developed in literature to study concrete application of these conditions as well as Dolgov-Kawasaki instability.

Muhammad Bilal Riaz (pakistan)

Affiliation UMT
Country pakistan

Muhammad Aziz-ur-Rehman (Pakistan)

Affiliation UMT, Lahore.
Country Pakistan
Talk Title HIGHER ORDER NUMERICAL TECHNIQUE FOR HEAT EQUATION WITH INTEGRAL BOUNDARY SPECIFICATIONS
Talk Abstract This paper deals with numerical technique to approximate the solution of one dimensional heat equation with integral boundary conditions. The integral conditions are approximated by Simpson's 1/3 rule while the space derivatives are approximated by fifth-order difference approximations. The method of lines, semi discretization approach is used to transform the model problem into a system of first-order linear ordinary differential equations whose solution satisfies a recurrence relation involving matrix exponential function. The method developed is fifth-order accurate in space and time and do not required the use of complex arithmetic. A parallel algorithm is also developed and implemented on several problems from literature and found highly accurate when compared with the exact ones and alternative techniques.

Muhammad Bilal Riaz (Pakistan)

Affiliation UMT, lahore
Country Pakistan

Attiya Bilal (Pakistan)

Affiliation student
Country Pakistan

Raja Noshad Jamil (Pakistan)

Affiliation UMT
Country Pakistan
Talk Title Soft set in Exon Skipping Technique for Duchanne Muscular Dystrophy
Talk Abstract Duchenne muscular dystrophy (DMD) is an inherent disease that comes from affected mother. DMD recessive X-linked form of muscular dystrophy, affecting around 1 in 3,600 boys. This muscular dystrophy is based on mutation in the dystrophin gene. In this paper we have applied “Soft Set” to find possible techniques in Exon Skipping for DMD.
Poster Title Soft set in Exon Skipping Technique for Duchanne Muscular Dystrophy

Shamaila Rani (Pakistan)

Affiliation Punjab University, Lahore
Country Pakistan
Talk Title Wormhole Solutions in f(T) Gravity
Talk Abstract We study static spherically symmetric noncommutative wormhole solutions in the framework of f(T) gravity. We construct f(T) field equations in covariant and effective energy-momentum tensor forms to make correspondence with general relativity. It is observed that the violation of energy conditions to support the nonstandard wormhole is due to the effective energy-momentum tensor. We explore the noncommutative wormhole solutions for the two cases: assume a viable power-law f(T) model to construct the shape function; a particular shape function is taken to construct f(T) model. In the first case, only exotic matter forms wormhole structure in teleparallel gravity whereas for f(T) gravity, normal matter threads these structures except for a particular range of r. For the constructed f(T) model, there does not exist a physically acceptable wormhole solution similar to the teleparallel case.

Ugur CAMCI (Turkey)

Affiliation Akdeniz University, Antalya
Country Turkey
Talk Title Noether symmetries of some Godel-type spacetimes
Talk Abstract In this study, we derive the Noether gauge symmetries of geodesic equations in background of some Godel-type spacetimes. To get the geodesic equations of motion in some Godel-type spacetimes, we construct a Lagrangian of the model. Using this geodesic Lagrangian, we calculate and classify Noether gauge symmetry generators. Furthermore, we give conservation laws admitted by Lagrangians for representing physical system.

Abdul Jawad (Pakistan)

Affiliation Punjab University Lahore
Country Pakistan
Talk Title Analysis of pilgrim dark energy models
Talk Abstract The proposal of pilgrim dark energy is based on the idea that phantom dark energy possesses enough resistive force to preclude black hole formation. We work on this proposal by choosing an interacting framework with cold dark matter and three cutoffs such as Hubble as well as event horizon and conformal age of the universe. We present a graphical analysis and focus our study on the pilgrim dark energy as well as interacting parameters. It is found that these parameters play an effective role on the equation of state parameter for exploring the phantom region of the universe. We also make the analysis of ?–?? and point out freezing region in the ?–?? plane. Finally, it turns out that the ?CDM is achieved in the statefinders plane for all models.

Zakir Hussain (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technolgy, Abbottabad.
Country Pakistan
Talk Title Instability of two dimensional Magnetohydrodynamics poiseuille flow of an electrically conducting fluid
Talk Abstract Instability of two dimensional Magnetohydrodynamics between parallel plates of an electrically conducting fluid affected by an imposed transverse magnetic field is investigated by chebyshev collocation method in fully develop poiseuille flow. The QZ-algorithm is used for solving the stability equation to get the eigenvalue problem. Method is utilized to obtain neutral curves of the linear instability. The details of instability are analyzed by solving the generalized Orr-Sommerfeld equation to determine the growth rates, spatial shapes of the eigenmodes and wavenumbers.

Muhammad Naeem Qureshi (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Talk Title Application of canonical form approach for system of ODEs
Talk Abstract Instability of two dimensional Magnetohydrodynamics between parallel plates of an electrically conducting fluid affected by an imposed transverse magnetic field is investigated by chebyshev collocation method in fully develop poiseuille flow. The QZ-algorithm is used for solving the stability equation to get the eigenvalue problem. Method is utilized to obtain neutral curves of the linear instability. The details of instability are analyzed by solving the generalized Orr-Sommerfeld equation to determine the growth rates, spatial shapes of the eigenmodes and wavenumbers.

Muhammad Naeem Qureshi (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Talk Title conditional symmetries of non linear heat equation in cylindrical coordinates
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To over tackle this problem, a new method of symmetry analysis was first introduced by Bluman and Cole in $1969$ known as non classical method. In this paper, conditional symmetries of non linear heat equation in cylindrical coordinates will be investigated.

Raja Waqas (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Talk Title Non-classical conditional symmetries of wave equation in spherical polar coordinates
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To over tackle this problem, a new method of symmetry analysis was first introduced by Bluman and Cole in $1969$ known as non classical method. In this paper, conditional symmetries for wave equation in spherical polar coordinates will be investigated.

Muhammad Ayub (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Country Pakistan
Talk Title Conditional Symmetries of Unsteady Beam Equations
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To overcoming these hurdles, a new method of symmetry analysis that is an extension of Lie's classical method, was first introduced by Bluman and Cole in $1969$ and named the nonclassical Lie method or conditional symmetry approach. In this paper, conditional symmetry approach for Beam equation will be investigated. Moreover a comparison with classical symmetries and conditional symmetries will be discussed.

Waqar Ahmed (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Country Pakistan
Talk Title A Note on Linearization of System of ODEs
Talk Abstract The study of linearization conditions of differential equations is an important field of application of the symmetry analysis. In this talk, the linearization criteria for system of ordinary differential equations will be revisited. An analysis of new case of linearization will be discussed. This work will be done by using Lie Algebraic approach.

Sadia sadique (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Country Pakistan
Talk Title Singular Invariants for Systems of two Second-Order ODEs
Talk Abstract Systems of second-order ordinary differential equations (ODEs) arise in mechanics and several applications. Differential Invariants play a key role in the construction of invariant differential equations as well as classification of system of ODEs. Like regular invariants, singular invariants also possess an important role in the analysis of system of ODEs. In this talk, Singular Invariants for Systems of two Second-Order ODEs will be investigated. Moreover by using these singular invariants, canonical forms for system of second-order ODEs will be constructed. The properties of these canonical forms will be discussed.

Muhammad Ayub (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Country Pakistan
Talk Title Conditional Symmetries of Unsteady Beam Equations
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To overcoming these hurdles, a new method of symmetry analysis that is an extension of Lie's classical method, was first introduced by Bluman and Cole in $1969$ and named the nonclassical Lie method or conditional symmetry approach. In this paper, conditional symmetry approach for Beam equation will be investigated. Moreover a comparison with classical symmetries and conditional symmetries will be discussed.

Raja Waqas (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Talk Title Non-classical conditional symmetries of wave equation in spherical polar coordinates
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To over tackle this problem, a new method of symmetry analysis was first introduced by Bluman and Cole in $1969$ known as non classical method. In this paper, conditional symmetries for wave equation in spherical polar coordinates will be investigated.

Muhammad Naeem Qureshi (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Talk Title conditional symmetries of non linear heat equation in cylindrical coordinates
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To over tackle this problem, a new method of symmetry analysis was first introduced by Bluman and Cole in $1969$ known as non classical method. In this paper, conditional symmetries of non linear heat equation in cylindrical coordinates will be investigated.

Haseena Manan (Pakistan)

Affiliation Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Country Pakistan
Talk Title Conditional Symmetries of Unsteady Beam Equations
Talk Abstract The classical theory of Lie symmetries of differential equation is used to find the various generalization as well as ways for obtaining solutions and different type of analysis of differential equations. But there are various cases where classical Lie approach do not work completely. To overcoming these hurdles, a new method of symmetry analysis that is an extension of Lie's classical method, was first introduced by Bluman and Cole in $1969$ and named the nonclassical Lie method or conditional symmetry approach. In this paper, conditional symmetry approach for Beam equation will be investigated. Moreover a comparison with classical symmetries and conditional symmetries will be discussed.

Gul Zaman (Pakistan)

Affiliation University of Malakand
Country Pakistan
Poster Title optimal control strategies in square root dynamics of smoking model

Muhammad safeer (Pakistan)

Affiliation Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad, Pakistan.
Country Pakistan
Poster Title conditional symmetries of non linear heat equation in cylindrical coordinates

Anwar Jawad (Iraq)

Affiliation Al-Rafidain University College
Country Iraq

Anwar Jawad (Iraq)

Affiliation Al-Rafidain University College
Country Iraq

hina bashir (pakistan)

Affiliation differential equations
Country pakistan

SAIMA IJAZ (PAKISTAN)

Affiliation UNIVERSITY OF MANAGEMENT AND TECHNOLOGY LAHORE
Country PAKISTAN

Marfua Alam (Pakistan)

Affiliation UMT, Lahore
Country Pakistan

Imrana Shafique (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Hira Tahir (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Ayesha Ikram (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Iqra Nawazish (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Saadia Mumtaz (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Saima Jabbar (Pakistan)

Affiliation University of the Punjab
Country Pakistan

Maryam Siddique (Pakistan)

Affiliation Fatima jinnah women university
Country Pakistan

Maryam Siddique (Pakistan)

Affiliation Fatima jinnah women university
Country Pakistan

Rahila Naz (Pakistan)

Affiliation Institute of Space Technology, Islamabad, Pakistan
Country Pakistan

Maryiam Javed (Pakistan)

Affiliation Institute of Space Technology (IST)
Country Pakistan

Muhammad Zaighum (Pakistan)

Affiliation Abdus Salam School Of Mathematical Sciences, GCU Lahore.
Country Pakistan

Muhammad Mubashir Bhatti (Pakistan)

Affiliation International Islamic university Islamabad
Country Pakistan

Haroon Ali Akbar (Pakistan)

Affiliation NUST-SEECS
Country Pakistan

Ume Salma (Pakistan)

Affiliation School of Electrical Engineering and Computer Science, National University of Science and Technology
Country Pakistan

Muhammad Asawal (Pakistan)

Affiliation SEECS NUST
Country Pakistan

Esmaeel Asadi (Iran)

Affiliation Institute for Advanced Studies in Basic Sciences(IASBS)
Country Iran

Hussain Gohar (Pakistan)

Affiliation Independent Researcher
Country Pakistan

Sarfraz Ali (Pakistan)

Affiliation University of Sargodha
Country Pakistan

Atifa Latif (Pakistan)

Affiliation Riphah International University Islamabad
Country Pakistan

Muhammad asghar (Pakistan)

Affiliation GCu lahore
Country Pakistan

Omar Rabbani (Pakistan)

Affiliation University of the Punjab Lahore
Country Pakistan

Muhammad Afzal Rana (Pakistan)

Affiliation Riphah International University, Islamabad
Country Pakistan

Rafee Ulah (Pakistan)

Affiliation SEECS,NUST
Country Pakistan

Nabila Yousaf (Pakistan)

Affiliation Quaid-i-Azam University, Islamabad, Pakistan.
Country Pakistan

Amir Khan (Pakistan)

Affiliation University Of Malakand, Chakdara, Lower Dir.
Country Pakistan

Asifa Tassaddiq (Pakistan)

Affiliation GC University Faisalabad
Country Pakistan

Ghulam Abbas (Pakistan)

Affiliation COMSATS, Institute of Information Technology Sahiwal
Country Pakistan

Bakhtawar Munir Butt (Pakistan)

Affiliation National University of Science and Technology
Country Pakistan

Fazal M Mahomed (South Africa)

Affiliation DECMA, University of Witsatersrand
Country South Africa

Abdul Hamid Kara (South Africa)

Affiliation DECMA, University of Witsatersrand
Country South Africa

David Mason (South Africa)

Affiliation DECMA, University of Witsatersrand
Country South Africa

Sunil Maharaj (South Africa)

Affiliation University of KwaZulu Natal
Country South Africa

Aman Dar (Canada)

Affiliation Brock University
Country Canada

Tahir Mustafa (Qatar)

Affiliation Qatar University
Country Qatar

Peter Olver (USA)

Affiliation University of Minnesota
Country USA

AWAIS SHAFIQUE (PAKISTAN)

Affiliation STUDENT OF BEE AT NUST,SEECS. STUDENT OF DR.SAJID ALI
Country PAKISTAN

sumaira rehman (Pakistan)

Affiliation Department of Mathematics, Hazara University.
Country Pakistan

Asaf Khan (Pakistan)

Affiliation University of Malakand
Country Pakistan

Taj Munir (pakistan)

Affiliation air university Islamabad
Country pakistan

Muhammad Rafiq (Pakistan)

Affiliation COMSATS Institute of Information Technology
Country Pakistan

Muhammad Zubair (pakistan)

Affiliation COMSATS
Country pakistan

hussan Zeb (pakistan)

Affiliation MAJU Islamabad
Country pakistan

shabir ahmad khan (pakistan)

Affiliation Maju islamabad
Country pakistan

Nazish Shahid (Pakistann)

Affiliation Forman Christian College Lahore Pakistan
Country Pakistann

Fazal Khaliq (pakistan)

Affiliation uo malkand
Country pakistan

fazal Haq (pakistan)

Affiliation university of malakand
Country pakistan

rahele alaei (Iran)

Affiliation rahele
Country Iran

rahele alaei (Iran)

Affiliation rahele
Country Iran

rahele alaei (Iran)

Affiliation rahele
Country Iran

rahele alaei (Iran)

Affiliation rahele
Country Iran

Yousaf Habib (Pakistan)

Affiliation NUST
Country Pakistan

RAI SAJJAD SAIF (Pakistan)

Affiliation IIUI
Country Pakistan

Bismah Jamil (Pakistan)

Affiliation NUST
Country Pakistan

Naila Amir (Pakistan)

Affiliation NUST
Country Pakistan

Hasnain Mehdi (Pakistan)

Affiliation Department of Physics, University of Sargodha
Country Pakistan

Faraz Ahmad (Pakistan)

Affiliation Department of Physics Uni Of Sargodha
Country Pakistan

Syed Aboubakar Hassan (Pakistan)

Affiliation Department of Physics Uni Of Sargodha
Country Pakistan

Muhammad Mazhar (Pakistan)

Affiliation Comsats Abbottabad
Country Pakistan

Ghulam Abbas Ashraf (Pakistan)

Affiliation ALLAMA IQBAL OPEN UNIVERSITY
Country Pakistan

Hira Tariq (Pakistan)

Affiliation CIIT Islamabad
Country Pakistan

Muhammad Saleem Khan (Pakistan)

Affiliation ISPA, University of Karachi
Country Pakistan

Abdullah Naeem (Pakistan)

Affiliation COMSATS Institute of Information Technology
Country Pakistan

IMRAN PARVEZ KHAN (PAKISTAN)

Affiliation COMSATS
Country PAKISTAN

Asim Ali (Pakistan)

Affiliation Lahore
Country Pakistan

Fazal Haq (pakistan)

Affiliation phd scholer
Country pakistan