Approximation of the RLW equation by the least square cubic B-spline finite element method

Dag İ., Ozer M.

APPLIED MATHEMATICAL MODELLING, cilt.25, sa.3, ss.221-231, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0307-904x(00)00030-5
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.221-231
  • Anahtar Kelimeler: regularized long wave (RLW) equation, least square finite element method, cubic B-spline, LONG-WAVE EQUATION, DISPERSIVE WAVES, GALERKIN METHODS, MODEL EQUATIONS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The regularized long wave (RLW) equation is solved numerically by giving a new algorithm based on a kind of space-time least square finite element method, in which a combination of cubic B-splines is used as an approximate function. A single soliton solution with different amplitudes is simulated and L-2, L-chi error norms and conserved quantities are given at selected times. Comparisons are made with both the analytical solution and some recent results. (C) 2001 Elsevier Science Inc. All rights reserved.