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NUMERICAL SOLUTIONS OF THE MRLW EQUATION USING MOVING LEAST SQUARE COLLOCATION METHOD
2017
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.1501/Commua1_0000000825
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

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Journal Type :   Ulusal

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics