Series solution for solving integral equations by homotopy analysis method
Dissertant
Thesis advisor
Comitee Members
al-Ashhab, Salim Shafiq
Abu al-Shar, Musa Jabir
al-Khalid, Kamil Mustafa
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
In this thesis, an analytic solution based on the homology analysis method (HAM) has been used to solve Integral equations (denoted as IEs) Convergence is also observed.
To check the numerical method, it is applied to solve different test problems with known exact solutions and compare the results from (HAM) with Triangular Orthogonal Function Method (TF) and Block Pulse Functions (BPFs) Method.
Numerical solutions obtained confirm the validity of the numerical method and suggest that it is an interesting and viable alternative to existing numerical methods for solving the problem under consideration.
Main Subjects
No. of Pages
60
Table of Contents
Abstract.
Table of contents.
Chapter one : Integral equation.
Chapter two : Homotopy analysis method.
Chapter three : Application HAM for integral equations.
References.
American Psychological Association (APA)
Abu Jarad, Iman Muhammad A.. (2009). Series solution for solving integral equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302871
Modern Language Association (MLA)
Abu Jarad, Iman Muhammad A.. Series solution for solving integral equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-302871
American Medical Association (AMA)
Abu Jarad, Iman Muhammad A.. (2009). Series solution for solving integral equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302871
Language
English
Data Type
Arab Theses
Record ID
BIM-302871
