A convergence analysis of the ADM and an application

KAYA D., Inan I. E.

Applied Mathematics and Computation, cilt.161, sa.3, ss.1015-1025, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 161 Sayı: 3
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2003.12.063
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1015-1025
  • Anahtar Kelimeler: Modified korteweg-de vries equation, The convergence of adomian decomposition method, The decomposition method, The self-canceling noise terms
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper by considering the decomposition scheme, we solve the modified Korteweg-de Vries equation (MKdV for short) for the initial condition. We prove the convergence of Adomian decomposition method (ADM) applied to the MKdV equation. © 2004 Elsevier Inc. All rights reserved.