On the generalized differential transform method (GDTM)‎ for solving fractional partial differential equations

Other Title(s)

حول طريقة التحويل التفاضلي للفروق المعممة "GDTM"

Dissertant

Abu Jawdah, Anas Ahmad Muhammad

Thesis advisor

al-Jaradat, Umar Khalid
al-Banawi, Kamal Ata Allah Salih

Comitee Members

al-Butush, Ratib Hamid
al-Nawafilah, Khalid Isa
al-Zubi, Imad Ahmad Awad

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2013

English Abstract

In this thesis, we study the generalized differential transform method (GDTM) for solving a class of initial-boundary value problems of space fractional partial differential equations with variable coefficients.

Some non-linear gas dynamic equations were considered fractional to study the DTM for solving NPDE's.

Results obtained using this scheme show that the (GDTM) method is very powerful and efficient technique in finding numerical solutions, and it increases the accuracy of the solutions.

The Generalized Differential Transform Method (GDTM), discussed here, can be widely implemented for classes of fractional differential equations.

Main Subjects

Mathematics

Topics

No. of Pages

41

Table of Contents

Table of contents.

Abstract.

Chapter One : Introduction.

Chapter Two : Fundamentals of fractional calculus theory.

Chapter Three : Generalized differential transform method (GDTM) for solving fractional partial differential equations with boundary value problems.

References.

American Psychological Association (APA)

Abu Jawdah, Anas Ahmad Muhammad. (2013). On the generalized differential transform method (GDTM) for solving fractional partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-346962

Modern Language Association (MLA)

Abu Jawdah, Anas Ahmad Muhammad. On the generalized differential transform method (GDTM) for solving fractional partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University. (2013).
https://search.emarefa.net/detail/BIM-346962

American Medical Association (AMA)

Abu Jawdah, Anas Ahmad Muhammad. (2013). On the generalized differential transform method (GDTM) for solving fractional partial differential equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-346962

Language

English

Data Type

Arab Theses

Record ID

BIM-346962