The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations

Bildik N., Konuralp A.

International Journal of Nonlinear Sciences and Numerical Simulation, vol.7, no.1, pp.65-70, 2006 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2006
  • Doi Number: 10.1515/ijnsns.2006.7.1.65
  • Journal Name: International Journal of Nonlinear Sciences and Numerical Simulation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.65-70
  • Keywords: Adomian's Decomposition Method, Differential Transform Method, Self Cancelling Noise Terms, Variational Iteration Method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, the Variational Iteration Method (VIM), Differential Transform Method (DTM) and Adomian's Decomposition Method (ADM) are implemented to investigate different types of partial differential equations. The analytical solutions of nonlinear partial differential equations are obtained. On the other hand, comparison of the three methods shows that the variational iteration method is more powerful, reliable and effective than the other twos. Some examples are presented to further show the ability of the variational iteration method for nonlinear partial differential equations. © Freund Publishing House Ltd.