Cosine expansion-based differential quadrature method for numerical solution of the KdV equation

Saka B.

CHAOS SOLITONS & FRACTALS, vol.40, no.5, pp.2181-2190, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 5
  • Publication Date: 2009
  • Doi Number: 10.1016/j.chaos.2007.10.004
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2181-2190
  • Eskisehir Osmangazi University Affiliated: Yes


Numerical solution of the Korteweg-de Vries equation is obtained using space-splitting technique and the differential quadrature method based oil cosine expansion (CDQM). The details of the CDQM and its implementation to the KdV equation are given. Three test problems are studied to demonstrate the accuracy and efficiency of the proposed method. Accuracy and efficiency are discussed by computing the numerical conserved laws and L(2), L(infinity) error norms. (C) 2007 Elsevier Ltd. All rights reserved.