Home
Add
Get on Google Play
Home
> Edit
Add/Update Thesis
Title*
Author's Name*
Supervisor's Name
Abstract
In this thesis, we consider two collocation methods, namely, Haar Wavelet Collocation Method (HWCM) and Meshless Collocation Method (MCM) with Radial Basis Functions (RBFs). Two new algorithms based on HWCM and MCM are developed for one-dimensional linear elliptic problems with single as well as double interfaces. The proposed methods are extended to include two- and three-dimensional elliptic problems. We also consider parabolic interface problems in which time derivative is involved. The time derivative is approximated bynite di erence and Crank-Nicolson schemes. Both the proposed methods are developed for linear parabolic problems as well. The new numerical methods are also applied to nonlinear elliptic and parabolic problems. The algorithms are designed for all the new developed methods. The MATLAB software is used for implementations and testing of all the new methods. Several numerical experiments are taken into account in order to check the performance of the new developed methods. The numerical results are compared with exact solution as well as existing methods in literature which show the superiority of the proposed methods. A comparative study between HWCM and MCM in terms of e ciency, accuracy and applicability is also performed.
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*