Application of cubic B-splines for numerical solution of the RLW equation

Dag İ., Saka B., Irk D.

APPLIED MATHEMATICS AND COMPUTATION, cilt.159, sa.2, ss.373-389, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 159 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.10.020
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.373-389
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Cubic B-spline functions have been used to develop a collocation method to solve the regularized long wave (RLW) equation, which is used to model solitary waves, undular bore development and wave generation. Performance of the scheme is tested by computing a solitary wave solution of the RLW equation and made comparison with analytical results. Undular bore development and wave generation is shown to be in good agreement with available results. (C) 2003 Elsevier Inc. All rights reserved.