A B‐spline algorithm for the numerical solution of Fisher's equation

Abstract

Purpose This paper seeks to develop an efficient B‐spline Galerkin scheme for solving the Fisher's equation, which is a nonlinear reaction diffusion equation describing the relation between the diffusion and nonlinear multiplication of a species. Design/methodology/approach The solution domain is partitioned into uniform mesh and, using the quartic B‐spline functions, the Galerkin method is applied to the Fisher's equation. Findings The method yields stable accurate solutions. Obtained results are acceptable and in unison with some earlier studies. Originality/value Using the uniform mesh, quartic B‐spline Galerkin method is employed for finding the numerical solutions of Fisher's equation.