B-spline collocation methods for numerical solutions of the RLW equation

Dag I., DOĞAN A., Saka B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.80, sa.6, ss.743-757, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 6
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1080/0020716021000038965
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.743-757
  • Anahtar Kelimeler: collocation, solitary waves, splines, partial differential eqn, LONG-WAVE EQUATION, FINITE-ELEMENT METHOD, DISPERSIVE WAVES, GALERKIN METHODS, MODEL EQUATIONS
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

The numerical solution of the RLW equation is obtained by using a splitting up technique and both quadratic and cubic B-splines. Both quadratic and cubic B-spline collocation methods are applied to the resulting equation. Solutions without splitting the RLW equation are also obtained with the method of the cubic collocation method. Results are substantiated by studying propagation of a solitary wave and undular bore development. Comparison is made with results of the proposed schemes.