INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.80, no.6, pp.743-757, 2003 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
collocation, solitary waves, splines, partial differential eqn, LONG-WAVE EQUATION, FINITE-ELEMENT METHOD, DISPERSIVE WAVES, GALERKIN METHODS, MODEL EQUATIONS
Abdullah Gül University Affiliated:
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.