Series solution for solving delay differential equation by homotopy analysis method
Other Title(s)
الحلول المتسلسلة لحل المعادلة التفاضلية المتأخرة باستخدام طريقة الهوموتوبي التحليلية
Dissertant
al-Shubayli, Isra Atif Muhammad
Thesis advisor
Comitee Members
Shawaqifah, Nabil
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
Delay differential equations (denoted as DDE) have a wide range of application in science and engineering.
They arise when the rate of change of a time-dependent process in its mathematical modeling is not only determined by its present state but also by a certain past state.
In this thesis, an analytic solution based on the homology analysis method (HAM) has been used to solve DDEs.
Convergence is also observed.
To check the numerical method, it is applied to solve different test problems with known exact solutions and the 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
Topics
No. of Pages
67
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : delay differential equations.
Chapter Two : properties of homotopy-derivative and deformation equations.
Chapter Three : application of HAM to DDEs.
Chapter four
References.
Chapter Four : numerical results and conclusions.
Chapter Four : numerical results and conclusions.
Chapter Four : numerical results and conclusions.
Chapter Four : numerical results and conclusions.
American Psychological Association (APA)
al-Shubayli, Isra Atif Muhammad. (2009). Series solution for solving delay differential equation by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-307449
Modern Language Association (MLA)
al-Shubayli, Isra Atif Muhammad. Series solution for solving delay differential equation by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-307449
American Medical Association (AMA)
al-Shubayli, Isra Atif Muhammad. (2009). Series solution for solving delay differential equation by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-307449
Language
English
Data Type
Arab Theses
Record ID
BIM-307449
