NUMERICAL SOLUTIONS OF THE MRLW EQUATION USING MOVING LEAST SQUARE COLLOCATION METHOD

Authors : Ayşegül KAPLAN, Yılmaz DERELİ

Pages : 349-361

Doi:10.1501/Commua1_0000000825

View : 16 | Download : 8

Publication Date : 2017-08-01

Article Type : Research Paper

Abstract :In this paper, the Modifed Regularized Long Wave insert ignore into journalissuearticles values(MRLW);equation is solved by using moving least square collocation insert ignore into journalissuearticles values(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 : Moving least square collocation method, MRLW equation