An explicit and numerical solutions of some fifth-order KdV equation by decomposition method

KAYA D.

Applied Mathematics and Computation, cilt.144, sa.2-3, ss.353-363, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 144 Sayı: 2-3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00412-5
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.353-363
  • Anahtar Kelimeler: Fifth-order KdV equation, The Adomian decomposition method, The Kawahara equation, The self-canceling noise terms
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, by considering the Adomian decomposition method, explicit and numerical solutions are calculated for a various fifth-order Korteweg-de Vries equations with initial condition. The method does not need linearization or weak nonlinearity assumptions, perturbation theory. The decomposition series explicit solution of the equation is quickly obtained by observing the existence of the self-canceling "noise" terms where sum of components vanishes in the limit. © 2002 Elsevier Inc. All rights reserved.