Comparison of three semi-analytical methods for solving (1+1)-dimensional dispersive long wave equations

Ugurlu Y., KAYA D., Inan I. E.

Computers and Mathematics with Applications, vol.61, no.5, pp.1278-1290, 2011 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1016/j.camwa.2010.12.026
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1278-1290
  • Keywords: (1+1-dimensional dispersive long wave equation, Adomian polynomials, Adomian's decomposition method, Homotopy analysis method, Homotopy perturbation method, Semi-analytical methods, Series solutions
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this work, we consider how Adomian's decomposition method (ADM), the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) can be used to investigate wave solutions of (1+1)-dimensional dispersive long wave equations. It is also worth noting that the advantage of the approximation of the series methodologies is a fast convergence of the solutions. © 2010 Elsevier Ltd. All rights reserved.