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

Bildik N., Bayramoglu H.

Applied Mathematics and Computation, cilt.163, sa.2, ss.519-524, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 163 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.03.029
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.519-524
  • Anahtar Kelimeler: Adomian decomposition method, the nonlinear two diniensional wave equation, self-cancelling noise terms
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.