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

Saka B.

CHAOS SOLITONS & FRACTALS, cilt.40, sa.5, ss.2181-2190, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.chaos.2007.10.004
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2181-2190
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.