Explicit solutions of generalized nonlinear Boussinesq equations


Creative Commons License

KAYA D.

Journal of Applied Mathematics, cilt.1, sa.1, ss.29-37, 2001 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 1
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1155/s1110757x01000067
  • Dergi Adı: Journal of Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.29-37
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

By considering the Adomian decomposition scheme, we solve a generalized Boussiness equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-canceling "noise" terms where sum of components vanishes in the limit.