Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation

Dehghan M., Saray B. N., Lakestanı M.

Mathematical and Computer Modelling, vol.55, no.3-4, pp.1129-1142, 2012 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 3-4
  • Publication Date: 2012
  • Doi Number: 10.1016/j.mcm.2011.09.037
  • Journal Name: Mathematical and Computer Modelling
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1129-1142
  • Keywords: Collocation approach, Finite difference schemes, Generalized Burgers-Huxley equation, Interpolating scaling functions, Operational matrix of derivative, Operational matrix of integration
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Two numerical techniques based on the interpolating scaling functions are presented for the solution of the generalized Burgers-Huxley equation. Some properties of the interpolating scaling functions are presented and are utilized to reduce the solution of the generalized Burgers-Huxley equation to the solution of a system of algebraic equations. Also another method which is based on the mixed collocation finite difference schemes is developed to solve this important nonlinear partial differential equation. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. © 2011 Elsevier Ltd.