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

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. 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.