Abstract:
In this paper, a numerical solution of the modified regularized long
wave (MRLW) equation is obtained by subdomain finite element method using quartic
B-spline functions. Solitary wave motion, interaction of two and three solitary waves and
the development of the Maxwellian initial condition into solitary waves are studied using
the proposed method. Accuracy and efficiency of the proposed method are tested by
calculating the numerical conserved laws and error norms L2 and L∞ . The obtained results show that the method is an effective numerical scheme to solve the MRLW equation. In addition, a linear stability analysis of the scheme is found to be unconditionally stable.
