A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method

Polat N., KAYA D., Tutalar H. I.

Applied Mathematics and Computation, vol.181, no.1, pp.193-199, 2006 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 181 Issue: 1
  • Publication Date: 2006
  • Doi Number: 10.1016/j.amc.2006.01.028
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.193-199
  • Keywords: Adomian decomposition method, Convergence analysis, Modified Kawahara equation, Numerical solution, Traveling wave solution
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this paper, we present an Adomian's decomposition method (shortly ADM) for numerical approximation traveling wave solutions of the modified Kawahara equation. The numerical solutions are compared with the known analytical solutions. We also prove the convergence of Adomian decomposition method (ADM) applied to the modified Kawahara equation. © 2006 Elsevier Inc. All rights reserved.