An application for a modified KdV equation by the decomposition method and finite element method

Geyikli T., KAYA D.

Applied Mathematics and Computation, cilt.169, sa.2, ss.971-981, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 169 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.11.017
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.971-981
  • Anahtar Kelimeler: Galerkin method, Korteweg-de Vries equation, Soliton solution, Splines finite element method, The decomposition method
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

A numerical solution to a Modified Korteweg-de Vries (MKdV) equation is obtained using a "lumped" Galerkin method with quadratic B-spline finite element method (FEM) and using the Adomian's Decomposition Method (ADM). Test problems concerning the motion and interaction of soliton solutions are used to compare the FEM with the ADM. Classical problems concerning the development, motion and interaction of solitons are used to validate the methods. The present methods extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. © 2004 Elsevier Inc. All rights reserved.