A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 8 June 2012
Abstract
Purpose
The purpose of this paper is to 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 and exhibits high accuracy as seen from the comparison with the exact solutions.
Design/methodology/approach
The study uses a meshless method of lines. This method uses radial basis functions for spatial derivatives and Runge‐Kutta method as a time integrator.
Findings
The paper reveals that this method exhibits high accuracy as seen from the comparison with the exact solutions.
Originality/value
This method is efficient method as it is easy to implement for the numerical solutions of PDEs.
Keywords
Citation
Tauseef Mohyud‐Din, S., Negahdary, E. and Usman, M. (2012), "A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 5, pp. 641-658. https://doi.org/10.1108/09615531211231280
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited