Volume 4, Issue 1, March 2018, Page: 20-26
Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
Abdulghafor M. Al-Rozbayani, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Karam A. Al-Hayalie, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Received: Oct. 24, 2017;       Accepted: Jan. 4, 2018;       Published: Feb. 1, 2018
DOI: 10.11648/j.fm.20180401.13      View  1115      Downloads  70
Abstract
In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods with the exact solution for the equation, there has been found an excellent approximation between exact solution and Numerical solutions for those methods, the DuFort_Frankel method was the best method in one dimension.
Keywords
Burger’s_Fisher Equation, Differential Equation, Finite Difference Method
To cite this article
Abdulghafor M. Al-Rozbayani, Karam A. Al-Hayalie, Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods, Fluid Mechanics. Vol. 4, No. 1, 2018, pp. 20-26. doi: 10.11648/j.fm.20180401.13
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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