A modified homotopy perturbation method for solving linear and non-linear differential equations
Dissertant
Thesis advisor
Comitee Members
al-Taani, Ali Ayid
Udaybat, Zayd Mahmud
Masadah, Basim Salih
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2006
English Abstract
In this work we present a fast and accurate numerical scheme for the solution of non-linear differential equations in general.
Some examples are given to illustrate the efficiency of the method.
Also we compare our results with the results obtained by the Adomian decomposition method.
The homotopy perturbation method is applied to construct the numerical solutions for some physical and engineering problems.
This work provides the solution in the form of rapidly converged series with easily computable components.
Main Subjects
No. of Pages
46
Table of Contents
Table of contents.
Abstract.
Chapter One : introduction.
Chapter Two : analytical methods used in this thesis.
Chapter Three : numerical comparison of methods for solving quadratic riccati differential equation.
Chapter Four : numerical approximation of the thomas-fermi equation and unsteady flow of gas through a porous medium equation.
Chapter Five : conclusions.
References.
American Psychological Association (APA)
Khurshid, Saed Muhammad Nimr. (2006). A modified homotopy perturbation method for solving linear and non-linear differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303604
Modern Language Association (MLA)
Khurshid, Saed Muhammad Nimr. A modified homotopy perturbation method for solving linear and non-linear differential equations. (Master's theses Theses and Dissertations Master). Mutah University. (2006).
https://search.emarefa.net/detail/BIM-303604
American Medical Association (AMA)
Khurshid, Saed Muhammad Nimr. (2006). A modified homotopy perturbation method for solving linear and non-linear differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303604
Language
English
Data Type
Arab Theses
Record ID
BIM-303604
