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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2020.12.005

A Numerical Study on One-Dimensional Reaction-Diffusion Equation and Fisher’s Equation

Faria Ahmed Shami 1,2,*, Laek Sazzad Andallah 2

1 Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh.

2 Department of Mathematics, Jahangirnagar University, Savar, Dhaka, Bangladesh.

*Corresponding author: Faria Ahmed Shami

Published: November 4,2020

Abstract

The paper concerns with the numerical solution of one dimensional Reac-tion-Diffusion Equation (RDE). A finite difference scheme is considered for the numerical solution of the RDE. A specific RDE, called the Fisher’s equation is studied and the scheme is implemented for the verification of the convergence behavior of the Fisher’s equation. An analytical solution is discussed. The error estimation of the scheme is presented to show the rate of convergence graphically. The stability condition of the Fisher’s equation is determined by performing numerical experiment.

Keywords

Reaction-Diffusion Equation (RDE), Fisher’s Equation, Finite Difference Scheme, Nonlinear PDE, Numerical solution

References

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How to cite this paper

A Numerical Study on One-Dimensional Reaction-Diffusion Equation and Fisher's Equation

How to cite this paper: Faria Ahmed Shami, Laek Sazzad Andallah. (2020) A Numerical Study on One-Dimensional Reaction-Diffusion Equation and Fisher’s Equation. Journal of Applied Mathematics and Computation, 4(4), 137-146.

DOI: http://dx.doi.org/10.26855/jamc.2020.12.005