Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 802414, 22 pages
http://dx.doi.org/10.1155/2012/802414
Research Article

A Meshless Finite-Point Approximation for Solving the RLW Equation

L. Pérez Pozo,1 R. Meneses,2 C. Spa,2 and O. Durán3

1Aula UTFSM-CIMNE, Departamento de Ingeniería Mecánica, Universidad Técnica Federico Santa María, Avenida España 1680, 2340000 Valparaíso, Chile
2Departamento de Matemática, Universidad Técnica Federico Santa María, Avenida España 1680, 2340000 Valparaíso, Chile
3Escuela de Ingeniería Mecánica, Pontificia Universidad Católica de Valparaíso, Los Carrera 01567, Quilpué, 2430120 Valparaíso, Chile

Received 20 October 2011; Revised 5 January 2012; Accepted 15 January 2012

Academic Editor: Gradimir V. Milovanović

Copyright © 2012 L. Pérez Pozo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with 𝐿 2 , 𝐿 ∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.