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

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

2010-09-07

arxiv.org/abs/1009.1405v1

Mathematics

Numerical Analysis

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Scientific paper

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.

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