Cosine Expansion-Based Differential Quadrature Algorithm for Numerical Solution of the RLW Equation

Dag İ., Korkmaz A., SAKA B.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.26, sa.3, ss.544-560, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/num.20446
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.544-560
  • Anahtar Kelimeler: cosine expansion-based differential quadrature, differential quadrature, RLW equation, solitary waves, undular bore, wave undulation, FINITE-ELEMENT SCHEME, GALERKIN METHOD, COMPUTATIONAL METHOD, SOLITARY WAVES
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The differential quadrature method based on cosine expansion is applied to obtain numerical solutions of the RLW equation. The propagation of single solitary wave is studied to validate the efficiency of the algorithm. Then, test problems including interaction of two and three solitary waves, undulation, and evolution of solitary waves are implemented. Solutions are compared with earlier results. Discrete conservation quantities are computed for test experiments. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 544-560, 2010