An approximate solution for a projectile motion using Laplace decomposition method
Other Title(s)
الحل التقريبي لحركة المقذوفات باستخدام طريقة تحليل لابلاس
Dissertant
al-Habshinah, Wajid Abd al-Rahim Jafar
Thesis advisor
al-Uqayli, Amir Dakhil
Jaradat, Imad Khalid Yusuf
Comitee Members
al-Sarayirah, Shirin Abd al-Qadir
Hijjawi, Raid Shakir Abd al-Karim
al-Sharif, Abd al-Latif
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2017
English Abstract
The main goal of this work is to find an approximate solution for projectile motion equation with and without air resistance using Laplace Decomposition method.
We proposed two forms of equations to describe the motion of a projectile ; an ordinary differential equation and fractional differential equation.
For the ordinary differential equation , the maximum height for the high orders for the nonlinear projectile motion equations were obtained using integral calculations.
For the same equations we got a general formula for the solution for high orders of nonlinearity using Laplace Decomposition Method.
The obtained solutions were plotted through programmatic of the Mathematica 6 edition.
From the Figures we studied the effects of the order of the nonlinear term , the value of the proportional factor and the mass of the projectile on the time needed to reach the maximum height.
In the second part we used Caputo definition to write fractional projectile motion equation and used the fractional Laplace Decomposition method to solve this equation.
Also we generalized the solution for any order of nonlinearity.
Then we plotted these solutions and studied the effect of the change in the fractional value on the behavior of the projectile.
Finally, we compared the results between the classically case and fractional case.
Main Subjects
No. of Pages
89
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Methods of solution.
Chapter Three : Projectile motion.
Chapter Four : An approximate solution for the projectile motion equation and fractional projectile motion.
References.
American Psychological Association (APA)
al-Habshinah, Wajid Abd al-Rahim Jafar. (2017). An approximate solution for a projectile motion using Laplace decomposition method. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780415
Modern Language Association (MLA)
al-Habshinah, Wajid Abd al-Rahim Jafar. An approximate solution for a projectile motion using Laplace decomposition method. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-780415
American Medical Association (AMA)
al-Habshinah, Wajid Abd al-Rahim Jafar. (2017). An approximate solution for a projectile motion using Laplace decomposition method. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780415
Language
English
Data Type
Arab Theses
Record ID
BIM-780415
