B-Spline Collocation Algorithms for Numerical Solution of the RLW Equation

SAKA B., Sahin A., Dag İ.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.27, sa.3, ss.581-607, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/num.20540
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.581-607
  • Anahtar Kelimeler: collocation, partial differential equations, solitary waves, spline, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, SOLITARY WAVES, COMPUTATIONAL METHOD, GALERKIN METHOD, UNDULAR BORE, SCHEME
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Both sextic and septic B-spline collocation algorithms are presented for the numerical solutions of the RLW equation. Numerical results resolve the fine structure of the single solitary wave propagation, two and three solitary waves interaction, and evolution of solitary waves. Comparison of the numerical results is done by the results of some earlier schemes mentioned in the article. (c) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 581-607, 2011