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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
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
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