期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2017
卷号：07
期号：02
页码：183-194
DOI：10.4236/ajcm.2017.72017
语种：English
出版社：Scientific Research Publishing
摘要：This research paper represents a numerical approximation to non-linear two - dimensional reaction diffusion equation from population genetics. Since various initial and boundary value problems exist in two - dimensional reaction-diffusion , phenomena are studied numerically by different numerical methods, here we use finite difference schemes to approximate the solution. Accuracy is studied in term of L2 , L∞ and relative error norms 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 nonlinear reaction diffusion equations with a little modification.
关键词：Forward in Time and Centre in Space (FTCS);Taylor’s Series;Crank Nicolson;Alternating Direction Implicit (ADI) Scheme
