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, vol.38, no.5, pp.1151-1160, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 5
  • Publication Date: 2013
  • Doi Number: 10.1007/s13369-012-0353-8
  • Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1151-1160
  • Keywords: 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
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.