Abstract:

In this paper, the Modifed Regularized Long Wave (MRLW)equation is solved by using moving least square collocation (MLSC) method.To show the accuracy of the used method several numerical test examplesare given. The motion of single solitary waves, the interaction of two solitary waves and the Maxwellian initial condition problems are chosen as test problems. For the single solitary wave motion whose analytical solution is known L2, L1 error norms are calculated. Also mass, energy and momentum in variants are calculated for every test problem. Obtained numerical resultsare compared with some earlier works. According to the obtained results, the method is very efficient and reliable

Keywords: