Article citationsMore>>

Newman, W.I. (1980) Some Exact Solutions to a Non-Linear Diffusion Problem in Population Genetics and Combustion. Journal of Theoretical Biology, 85, 325-334.
https://doi.org/10.1016/0022-5193(80)90024-7

has been cited by the following article:

• 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.