A meshless numerical solution of the family of generalized fifth-order Korteweg-de Vries equations

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

In this paper we present a numerical solution of a family of generalized
fifth-order Korteweg-de Vries equations using a meshless method of lines. This
method uses radial basis functions for spatial derivatives and Runge-Kutta
method as a time integrator. This method exhibits high accuracy as seen from
the comparison with the exact solutions.

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