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 misfitt 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. |