Numerical Simulations of Boundary-Forced RLW Equation with Cubic B-Spline-based Differential Quadrature Methods

KORKMAZ A., Dag İ.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.38, sa.5, ss.1151-1160, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s13369-012-0353-8
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1151-1160
  • Anahtar Kelimeler: RLW equation, B-spline, Differential quadrature method, Solitary waves, Undular bore, Wave undulation, LONG-WAVE EQUATION, DISTRIBUTED SYSTEM EQUATIONS, NONLINEAR DISPERSIVE SYSTEMS, FINITE-ELEMENT SCHEME, GALERKIN METHOD, SOLITARY WAVES, COMPUTATIONAL METHOD, MODEL-EQUATIONS, UNDULAR BORE, VIBRATION
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In the study, differential quadrature methods based on cubic B-splines are proposed. In order to test the accuracy and the efficiency of the present methods, some numerical solutions of the Regularized Long Wave Equation are simulated. Wave generation, traveling solitary wave, interaction of the two solitary waves and undulation solutions of the RLW equation are studied. Obtained simulations are compared with some earlier works. Lowest three conserved quantities are computed for all test problems.