Solving system of differential-algebraic equations by homotopy analysis method
Other Title(s)
حل نظام من المعادلات التفاضلية الجبرية باستخدام طريقة الهرموتوبي التحليلية
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
2011
English Abstract
In this thesis, we consider differential-algebraic equation (DAEs) systems.
The approximate solutions for the differential-algebraic equations systems are obtained by using homotopy analysis method (HAM) and Laplace homotopy analysis method (LHAM).
The biggest advantage over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms.
The methods are illustrated by examples of DAEs and series solutions are obtained.
The solutions have been compared with exact solutions.
MATLAP 7 will be used to carry out the computations.
Graphical results will be presented and discussed quantitatively to illustrate the solutions.
Main Subjects
No. of Pages
79
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : differential algebraic equations and laplace transform.
Chapter Two : homotopy analysis method.
Chapter Three : application of ham to system of daes.
Chapter Four : application of lham to system of daes.
References.
American Psychological Association (APA)
al-Masaid, Rahmah Saqr Awdah. (2011). Solving system of differential-algebraic equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321217
Modern Language Association (MLA)
al-Masaid, Rahmah Saqr Awdah. Solving system of differential-algebraic equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-321217
American Medical Association (AMA)
al-Masaid, Rahmah Saqr Awdah. (2011). Solving system of differential-algebraic equations by homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321217
Language
English
Data Type
Arab Theses
Record ID
BIM-321217
