Document Details

Document Type : Thesis 
Document Title :
RESEARCH STUDY TO GENERALIZED FISHER EQUATION BY FINITE DI ERENCE 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 TypeDr GradeEmail
بدر سعد الشمريAlshammari, Bader SaadResearcherMaster 

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 43202.pdf pdf 

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