An analytical scheme for two point boundary value problem using modified homotopy analysis method
Other Title(s)
مخطط تحليلي لمسائل القيمة الزمنية محدودة النقطتين باستخدام طريقة تعديل تحليل الهموتوبي
Dissertant
Thesis advisor
Comitee Members
Abu al-Shar, Musa Jabir
al-Khalid, Kamil Mustafa
Zurayqat, Muhammad
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2011
English Abstract
Temporal two-point boundary value problems are an important branch of applied mathematics that result directly from mathematical models or indirectly from converting the partial differential equations. In this thesis, we applied the modified homotopy analysis method (HMAM) for the solution of two point boundary value problems (TPBVPs).
The approach is applied to solve linear and nonlinear problems and the solutions obtained reveal that the proposed method is very effective and more accurate than the numerical solutions obtained via shooting and finite difference methods.
Main Subjects
Topics
No. of Pages
70
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : classical numerical methods.
Chapter Two : modified homotopy analysis method.
Chapter Three : numerical examples.
References.
American Psychological Association (APA)
Kiwan, Rima Wajih Hasan. (2011). An analytical scheme for two point boundary value problem using modified homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321214
Modern Language Association (MLA)
Kiwan, Rima Wajih Hasan. An analytical scheme for two point boundary value problem using modified homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-321214
American Medical Association (AMA)
Kiwan, Rima Wajih Hasan. (2011). An analytical scheme for two point boundary value problem using modified homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321214
Language
English
Data Type
Arab Theses
Record ID
BIM-321214
