Numerical Investigation of the Solution of Fisher's Equation via the B-Spline Galerkin Method


Dag İ. , Sahin A., Korkmaz A.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.26, no.6, pp.1483-1503, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 6
  • Publication Date: 2010
  • Doi Number: 10.1002/num.20507
  • Title of Journal : NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Page Numbers: pp.1483-1503

Abstract

The Galerkin method is used with quadratic B-spline base functions to obtain the numerical solutions of Fisher's equation which is a one dimensional reaction-diffusion equation. To observe the effects of reaction and diffusion, four test problems related to pulse disturbance, step disturbance, super-speed wave and strong reaction are studied. A comparison is performed between the obtained numerical results and some earlier studies. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1483-1503, 2010