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.

Citation

Şahin, A., Dağ, İ. and Saka, B. (2008), "A B‐spline algorithm for the numerical solution of Fisher's equation", Kybernetes, Vol. 37 No. 2, pp. 326-342. https://doi.org/10.1108/03684920810851212