Homotopy Perturbation Method for Numerical Solutions of KdV-Burgers' and Lax's Seventh-Order KdV Equations

YILDIRIM A., BERBERLER M. E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.26, no.5, pp.1040-1053, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 5
  • Publication Date: 2010
  • Doi Number: 10.1002/num.20473
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1040-1053
  • Keywords: homotopy perturbation method, Korteweg-de Vries Burgers equation, Lax's seventh-order KdV equation
  • Dokuz Eylül University Affiliated: No

Abstract

In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg-de Vries Burgers (for short, KdVB) and Lax's seventh-order KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this type of nonlinear equations and excellent accuracy. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1040-1053, 2010