The use of the exponential function method for solving nonlinear partial differential equations arising in fluid mechanics

Other Title(s)

استخدام طريقة الاقتران الأسي في حل المعادلات التفاضلية الجزية غير الخطية التي تظهر في ميكانيكا الموائع.

Dissertant

Ahmad, Ala Abd al-Aziz

Thesis advisor

al-Jaradat, Umar Khalid
al-Rabtah, Adil Hilal

Comitee Members

Warikat, Fawwaz Awwad
al-Mumani, Shahir Muhammad
al-Taani, Ali Ayid

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2009

English Abstract

In this thesis, The Exponential Function Method proposed by He and Wu (2006) is adopted to find new exact and approximation solutions for nonlinear partial differential equations.

Some examples of nonlinear partial differential equations arising in fluid mechanics are presented to illustrate the efficiency and simplicity of the Ext Method Some current results are compared with those derived from the established methods, and it is shown that there is a good agreement between the sets of the results, which shows that the Ext-Method is simple powerful tool for solving nonlinear partial differential equations.

Main Subjects

Mathematics

Topics

No. of Pages

34

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction.

Chapter two : Methods for solving partial differential equations arising in fluid mechanics.

Chapter three : The exponential function method.

Chapter four : Application of the exp-method to some nonlinear partial differential equations arising in fluid mechanics and conclusion.

References.

American Psychological Association (APA)

Ahmad, Ala Abd al-Aziz. (2009). The use of the exponential function method for solving nonlinear partial differential equations arising in fluid mechanics. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304621

Modern Language Association (MLA)

Ahmad, Ala Abd al-Aziz. The use of the exponential function method for solving nonlinear partial differential equations arising in fluid mechanics. (Master's theses Theses and Dissertations Master). Mutah University. (2009).
https://search.emarefa.net/detail/BIM-304621

American Medical Association (AMA)

Ahmad, Ala Abd al-Aziz. (2009). The use of the exponential function method for solving nonlinear partial differential equations arising in fluid mechanics. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304621

Language

English

Data Type

Arab Theses

Record ID

BIM-304621