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- Title
A highly accurate method to solve Fisher's equation.
- Authors
BASTANI, MEHDI; SALKUYEH, DAVOD
- Abstract
In this study, we present a new and very accurate numerical method to approximate the Fisher's-type equations. Firstly, the spatial derivative in the proposed equation is approximated by a sixth-order compact finite difference (CFD6) scheme. Secondly, we solve the obtained system of differential equations using a third-order total variation diminishing Runge-Kutta (TVD-RK3) scheme. Numerical examples are given to illustrate the efficiency of the proposed method.
- Subjects
NUMERICAL solutions to differential equations; APPROXIMATION theory; PROBLEM solving; NUMERICAL calculations; FINITE differences; RUNGE-Kutta formulas
- Publication
Pramana: Journal of Physics, 2012, Vol 78, Issue 3, p335
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-011-0243-8