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The use of Adomian decomposition method for solving the regularized long-wave equation. (English) Zbl 1073.35010
Summary: An accurate method to obtain an approximate numerical solution for the nonlinear regularized long-wave (in short RLW) equation is considered. The theoretical analysis of the method is investigated. The performance and the accuracy of the algorithm are illustrated by solving two test examples of the problem. The obtained results are presented and compared with the analytical solutions. It is observed that only few terms of the series expansion are required to obtain approximate solutions with good accuracy.

35A25Other special methods (PDE)
35A35Theoretical approximation to solutions of PDE
35Q53KdV-like (Korteweg-de Vries) equations
Full Text: DOI
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