Analytical methods to solve Bateman burger's equation with non-linearity terms
Other Title(s)
طرق تحليلية لحل معادلة باتيمان غير الخطية
Dissertant
al-Mahadin, Adi Abd al-Wahhab Abd al-Karim
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2020
Arabic Abstract
أهداف الدراسة هي دراسة معادلة باتيمان كمثال على معادلة غير خطية لانتشار الموجات في ديناميكا الموائع و ايجاد حل لها في بعد واحد و في بعدين باستخدام طرق تحليلية مثل طريقة تحويل لابلاس، طريقة الهوموتوبي و طريقة فراكشونال كالكولاس.
بعد ايجاد الحلول التقريبية رسمنا النتائج باستخدام برنامج (mathematica) و قمنا بمقارنتها مع النتائج السابقة الرسالة متبوعة بثلاث ملاحق تحتوي اشتقاق لبعض التفاصيل الرياضية المستخدمة في الرسالة.
و أخيرا قدمنا النتائج و الخلاصة
English Abstract
-The aims of this thesis are to study the nonlinear Bateman equation as a nonlinear model equation for diffusive waves in fluid dynamics and find an approximate solution for it in one and two dimensions , By using the analytical methods like (Laplace decomposition method (LDM, the Homotopy perturbation method (HPM) and the fractional calculus method) .
Then we got approximate solutions, we plotted the results using Mathematica program and compare them with other previous results.
The thesis is followed by three Appendices contain derivations of some the mathematics used in this thesis.
Finally, we interpreted the results and write the conclusion.
Main Subjects
No. of Pages
69
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Analytical methods.
Chapter Three : Bateman burger's equation.
Chapter Four : Analytical methods to solve Bateman burger's equation with non-linearity terms.
References.
American Psychological Association (APA)
al-Mahadin, Adi Abd al-Wahhab Abd al-Karim. (2020). Analytical methods to solve Bateman burger's equation with non-linearity terms. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1350791
Modern Language Association (MLA)
al-Mahadin, Adi Abd al-Wahhab Abd al-Karim. Analytical methods to solve Bateman burger's equation with non-linearity terms. (Master's theses Theses and Dissertations Master). Mutah University. (2020).
https://search.emarefa.net/detail/BIM-1350791
American Medical Association (AMA)
al-Mahadin, Adi Abd al-Wahhab Abd al-Karim. (2020). Analytical methods to solve Bateman burger's equation with non-linearity terms. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1350791
Language
English
Data Type
Arab Theses
Record ID
BIM-1350791
