A numerical solution of the RLW equation by Galerkin method using quartic B-splines

Saka B., Dag İ.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.24, sa.11, ss.1339-1361, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1002/cnm.1036
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1339-1361
  • Anahtar Kelimeler: finite elements, Galerkin method, quartic B-spline, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, PSEUDOSPECTRAL METHOD, COMPUTATIONAL METHOD, COLLOCATION METHOD, SOLITARY WAVES, SCHEME
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Galerkin finite element method based on quartic B-splines is used to find a numerical solution of the regularized long wave equation. The method is tested on the problems of propagation of solitary waves, interaction of two and three solitary waves, undulation and wave generation. Comparisons are made with both analytical solutions and results of some published methods. Accuracy and efficiency of' the scherne are discussed by computing numerical conserved laws and L-2, L-infinity error norins. Copyright (C) 2007 John Wiley & Sons, Ltd.