Galerkin method for the numerical solution of the RLW equation using quintic B-splines

Dag İ., Saka B., Irk D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.190, ss.532-547, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 190
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.cam.2005.04.026
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.532-547
  • Anahtar Kelimeler: finite elements, galerkin, splines, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, NONLINEAR DISPERSIVE SYSTEMS, SCHEME, MODEL
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The regularized long wave equation (RLW) is solved numerically by using the quintic B-spline Galerkin finite element method. The same method is applied to the time-split RLW equation. Comparison is made with both analytical solutions and some previous results. Propagation of solitary waves, interaction of two solitons are studied. (c) 2005 Elsevier B.V. All rights reserved.