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, cilt.7, sa.1, ss.65-70, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1515/ijnsns.2006.7.1.65
  • Dergi Adı: International Journal of Nonlinear Sciences and Numerical Simulation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.65-70
  • Anahtar Kelimeler: Adomian's Decomposition Method, Differential Transform Method, Self Cancelling Noise Terms, Variational Iteration Method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.