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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
RESEARCH STUDY TO GENERALIZED FISHER EQUATION BY FINITE DIERENCE SCHEMES
دراسة بحثية لمعادلة فيشر العامة باستخدام مخطاطات الفروق المحدودة
Subject
:
Faculty of Sciences
Document Language
:
Arabic
Abstract
:
This thesis studies the numerical solutions of Fisher equation and its types related to the coupled linear system and generalized non-linear equations by finite difference schemes. Two of the schemes are implicit, and one is explicit in nature. The equation occurs in population growth models, neurophysiology, and nuclear reactions. Therefore, the numerical study of these types of equations is very important. In this work, the finite difference method is discussed and applied on a few examples of representing different types of Fisher equations. The numerical results indicate the accuracy and utility of the finite difference method in solving such problems. Additionally, the accuracy of the various finite difference schemes, which depends on the discretization error, is considered both theoretically and by means of illustrative numerical examples. The use of variable grid spacings is also considered,, so that a finer grid can be used to give more detailed results in regions of interest. This work enhances our knowledge of linear reaction diffusion equations by use of alternating direction implicit. The outcome of this research work is achieved in one research paper, which is published in Applied Mathematics Journal with the title, ‘Numerical Study of Fisher’s Equation by Finite Difference Schemes’.
Supervisor
:
Prof. Daoud Suleiman Mashat
Thesis Type
:
Master Thesis
Publishing Year
:
1439 AH
2018 AD
Added Date
:
Thursday, March 29, 2018
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بدر سعد الشمري
Alshammari, Bader Saad
Researcher
Master
Files
File Name
Type
Description
43202.pdf
pdf
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