Home
Add
Get on Google Play
Home
> Edit
Add/Update Thesis
Title*
Author's Name*
Supervisor's Name
Abstract
Time dependent partial differential equations (PDEs) model systems that experience change as a function of time. Time dependent PDEs have numerous applications such as diffusion, heat transfer, thermodynamics, population dynamics and wave phenomena. They are naturally parabolic or hyperbolic. Meshless methods have large advantages in accuracy over other methods, such as finite difference method (FDM), finite volume method (FVM), finite element method (FEM). The main features of the meshless methods are its simplicity, efficiency and invariance under euclidian transformation and can handle problems defined on complex shape domains. Meshless methods have some serious drawbacks as well. When the nodes are increased the method solve comparatively large system, and the ill-conditioning of the system matrix causes instability. Due to which it becomes difficult to achieve spectral convergence. This thesis is concerned with two issues that is to solve the ill- conditioning problem of the interpolation matrix by radial kernels in local setting and to replace the time marching scheme with the numerical inversion of Laplace transforms which eliminates temporal truncation errors and the need for many time integration steps. The method is applied to solve fractional and integer order time dependent PDEs. The method comprises of three steps. First the Laplace transform is applied to the partial differential equation and boundary conditions in a given differential system. Second, the kernel based method is employed to solve the transformed differential system. Third, the solution is represented as a contour integral evaluated to high accuracy by trapezoidal rule.
Subject/Specialization
Language
Program
Faculty/Department's Name
Institute Name
Univeristy Type
Public
Private
Campus (if any)
Institute Affiliation Inforamtion (if any)
City where institute is located
Province
Country
Degree Starting Year
Degree Completion Year
Year of Viva Voce Exam
Thesis Completion Year
Thesis Status
Completed
Incomplete
Number of Pages
Urdu Keywords
English Keywords
Link
Select Category
Religious Studies
Social Sciences & Humanities
Science
Technology
Any other inforamtion you want to share such as Table of Contents, Conclusion.
Your email address*