Article

A finite difference solution of the regularized long-wave equation

Mathematical Problems in Engineering (Impact Factor: 1.38). 01/2006; DOI:10.1155/MPE/2006/85743
Source: DOAJ

ABSTRACT A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.

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