Solitary wave solutions for the regularized long-wave equation |
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Authors: | D Irk |
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Institution: | 1. Mathematics and Computer Sciences Department, Eski?ehir Osmangazi University, Eski?ehir, 26480, Turkey
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Abstract: | The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves. The three conserved quantities of motion are calculated to determine the conservation properties of the proposed algorithm. The L ?? error norm is used to measure the difference between exact and numerical solutions. A comparison with the previously published numerical methods is performed. |
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