Article ID Journal Published Year Pages File Type
4628703 Applied Mathematics and Computation 2013 13 Pages PDF
Abstract

The equal width equation is solved by a RBF-PS scheme. This technique is meshless, and there is no need to linearize the nonlinear terms. The radial kernels are used to transform the PDE into a system of ODEs. A higher order ODE solver is used to solve the ODE system. The method is tested for single solitary wave, interaction of two and three solitary waves, the development of an undular bore and the interaction of two solitary waves. The results are compared with earlier work and other methods.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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