The use of Adomian decomposition method for solving a specific nonlinear partial differential equations

KAYA D.

Bulletin of the Belgian Mathematical Society - Simon Stevin, cilt.9, sa.3, ss.343-349, 2002 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 3
  • Basım Tarihi: 2002
  • Doi Numarası: 10.36045/bbms/1102715059
  • Dergi Adı: Bulletin of the Belgian Mathematical Society - Simon Stevin
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.343-349
  • Anahtar Kelimeler: A partial differential equation, The Adomian decomposition method, The self-cancelling noise terms
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, by considering the Adomian decomposition method, explicit solutions are calculated for partial differential equations with initial conditions. The method does not need linearization, weak nonlinearly assumptions or perturbation theory. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-cancelling "noise" terms where sum of components vanishes in the limit.