Değiştirilmiş düzenli uzun dalga denkleminin kübik trigonometrik B-spline fonksiyonları kullanılarak nümerik çözümü

The modified regularized long wave (MRLW) equation has a major role in the propagation of nonlinear dispersive waves. Since it has no analytical solutions generally, good numerical methods are needed to reveal physical events modelled by MRLW equation. In this study, the MRLW equation is solved numerically by Galerkin finite element method, based on cubic trigonometric B-spline for the space discretization and Crank Nicolson method for time discretization. Proposed method is investigated on the problems of propagation of single solitary wave and interaction of two solitary waves for MRLW equation. To see the accuracy and efficiency of the method, the maximum error norm for the first test problem is computed and results are compared with previous published studies. The three conservation quantities of the motion are calculated to accurate numerical scheme for both of the test problems.