A powerful scheme for handling nonlinear fractional differential equations using multi-step homotopy analysis method
Dissertant
Thesis advisor
Comitee Members
Awawidah, Fadi Abd Allah
Jaradat, Husayn Mahmud
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2013
English Abstract
In this thesis, a reliable algorithm called the multi-step homotopy analysis method based on an adaptation of the standard homotopy analysis method have been presented to solve nonlinear fractional differential equation.
The proposed scheme is only a simple modification of the homotopy analysis method, in which it is treated as an algorithm in a sequence of small intervals (i.e.
time step) for finding accurate approximate solutions to the corresponding problems.
Several illustrative examples have been given to demonstrate the effectiveness of the present method.
Numerical comparisons between the multi-step homotopy analysis method and the exact solution in the case of integer-order derivatives reveal that the technique is a promising tool for nonlinear problems of integer and fractional order.
Main Subjects
Topics
No. of Pages
54
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Fractional calculus.
Chapter Two : Homotopy analysis method.
Chapter Three : The multi-step homotopy analysis method.
References.
American Psychological Association (APA)
al-Zubi, Hasan Sulayman Salih. (2013). A powerful scheme for handling nonlinear fractional differential equations using multi-step homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-416322
Modern Language Association (MLA)
al-Zubi, Hasan Sulayman Salih. A powerful scheme for handling nonlinear fractional differential equations using multi-step homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University. (2013).
https://search.emarefa.net/detail/BIM-416322
American Medical Association (AMA)
al-Zubi, Hasan Sulayman Salih. (2013). A powerful scheme for handling nonlinear fractional differential equations using multi-step homotopy analysis method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-416322
Language
English
Data Type
Arab Theses
Record ID
BIM-416322
