A meshless numerical solution of the family of generalized fifth-order Korteweg-de Vries equations
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 f...
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Veröffentlicht in: | arXiv.org 2010-08 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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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ISSN: | 2331-8422 |