Online from: 1972
Subject Area: Electrical & Electronic Engineering
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|Title:||A B-spline algorithm for the numerical solution of Fisher's equation|
|Author(s):||Ali Sahin, (Mathematics Department, Eskisehir Osmangazi University, Eskisehir, Türkiye), Idris Dag, (Computer Engineering Department, Eskisehir Osmangazi University, Eskisehir, Türkiye), Bülent Saka, (Mathematics Department, Eskisehir Osmangazi University, Eskisehir, Türkiye)|
|Citation:||Ali Sahin, Idris Dag, Bülent Saka, (2008) "A B-spline algorithm for the numerical solution of Fisher's equation", Kybernetes, Vol. 37 Iss: 2, pp.326 - 342|
|Keywords:||Algorithmic languages, Cybernetics, Galerkin method|
|Article type:||Research paper|
|DOI:||10.1108/03684920810851212 (Permanent URL)|
|Publisher:||Emerald Group Publishing Limited|
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.
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