The solution of two dimensional nonlinear differential equation by the Adomian decomposition method

Bildik N., Bayramoglu H.

Applied Mathematics and Computation, vol.163, no.2, pp.519-524, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 163 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.03.029
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.519-524
  • Keywords: Adomian decomposition method, the nonlinear two diniensional wave equation, self-cancelling noise terms
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper the Adomian's decomposition method is used to investigate nonlinear two dimensional wave equation. The analytic solution of the nonlinear wave equation is calculated in the form of a series with easily computable components. The nonhomogenous equation is effectively solved by employing the phenomena of the self-canceling "noise" terms where sum of components vanishes in the limit. Comparing the methodology with some known techniques shows that the present approach is powerful and reliable. Its remarkable accuracy properties are finally demonstrated by an example. © 2004 Elsevier Inc. All rights reserved.