A Meshless method of lines for the numerical solution of Coupled Drinfeld's-Sokolov-Wilson System.

link: http://arxiv.org/abs/1009.1405
Abstract

This paper applies meshless method of lines, which uses radial basis
functions (RBFs) as a spatial collocation scheme to solve the Coupled
Drinfeld's-Sokolov-Wilson System. Runge-Kutta method is used for time
integration of the system of ODEs obtained as a result of spatial
discretization in contrast to usual RBFs or finite difference methods. Accuracy
(L2 and L1) is compared with the existing results from other methods available
in the literature.