An efficient analytic-numeric technique for solving nonlinear systems of partial differential equations
Other Title(s)
طريقة تحليلية عددية فعالة-لحل أنظمة المعادلات التفاضلية الجزئية اللاخطية
Dissertant
Thesis advisor
Comitee Members
al-Marashidah, Muhammad Fathi
al-Tawalibah, Zuhayr Khalid
al-Dawud, Kamal Muhammad
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2017
English Abstract
In this thesis, a recently reacted semi-analytic technique, known as the Adomian-Rach decomposition method, is developed for analytic treatment of nonlinear partial differential equations and system.
The presented method, which is based on combining the power series expansion method and the Adomian decomposition method, overcomes the cost of power series method in solving nonlinear differential equations and the complexity of computing integrals in the Adomian decomposition method.
Many examples, with ordinary and partial derivatives were solved to explain the powerful, simplicity, reliability and efficiency of our modification than other existing methods.
A comparative study with the standard power series expansion method and the Adomian decomposition method is also included.
This dissertation has been organized as follows: Chapter 1 is devoted to related basic facts and concepts.
In Chapter 2, the methodology of decomposition methods to deal differential equations is discussed.
Applications and conclusions are presented in Chapter 3.
Main Subjects
No. of Pages
24
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : The modified decomposition method.
Chapter Three : Numerical illustrations.
Chapter Four : Conclusions.
References.
American Psychological Association (APA)
Farraj, Ghadir Isa Khalil. (2017). An efficient analytic-numeric technique for solving nonlinear systems of partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780399
Modern Language Association (MLA)
Farraj, Ghadir Isa Khalil. An efficient analytic-numeric technique for solving nonlinear systems of partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-780399
American Medical Association (AMA)
Farraj, Ghadir Isa Khalil. (2017). An efficient analytic-numeric technique for solving nonlinear systems of partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780399
Language
English
Data Type
Arab Theses
Record ID
BIM-780399
