A numerical application of the decomposition method for the combined KdV-MKdV equation

KAYA D., Inan I. E.

Applied Mathematics and Computation, cilt.168, sa.2, ss.915-926, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 168 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.09.033
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.915-926
  • Anahtar Kelimeler: Solitary-wave solution, The combined Korteweg de Vries-Modified Korteweg de Vries equation, The convergence of Adomian decomposition method
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We consider solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. We prove the convergence of Adomian decomposition method (ADM) applied to the combined KdV-MKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the combined KdV-MKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the combined KdV-MKdV equation. © 2004 Elsevier Inc. All rights reserved.