TITLE:
Numerical Study of Fisher’s Equation by Finite Difference Schemes
AUTHORS:
Bader Saad Alshammari, Daoud Suleiman Mashat
KEYWORDS:
Forward in Time and Centre in Space (FTCS), Taylor’s Series, Crank Nicolson, Douglas Scheme
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.8,
August
18,
2017
ABSTRACT: This research paper represents a numerical approximation to three interesting
equations of Fisher, which are linear, non-linear and coupled linear one dimensional
reaction diffusion equations from population genetics. We studied
accuracy in term of L∞ error norm by random selected grids along time levels
for comparison with exact results. The test example demonstrates the accuracy,
efficiency and versatility of the proposed schemes. It is shown that the
numerical schemes give better solutions. Moreover, the schemes can be easily
applied to a wide class of higher dimension non-linear reaction diffusion equations.