Article
A Meshless Numerical Solution of the Family of Generalized Fifth-order Korteweg-de Vries Equations
International Journal of Numerical Methods for Heat & Fluid Flow
Document Type
Article
Publication Date
1-1-2012
Abstract
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.
Inclusive pages
641-658
ISBN/ISSN
0961-5539
Document Version
Postprint
Copyright
Copyright © 2012, Emerald Publishing.
Publisher
Emerald
Peer Reviewed
Yes
Keywords
- Method of lines (MOL),
- Meshless,
- Radial basis function (RBF),
- Multiquadric (MQ),
- Inverse multiquadric (IMQ),
- Gaussian (GA),
- Generalized fifth-order Korteweg-de Vries (gfKdV)
Disciplines
Citation Information
Syed Tauseef Mohyud-Din, Elham Negahdary and Muhammad Usman. "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 Iss. 5 (2012) Available at: http://works.bepress.com/muhammad_usman/8/
The document available for download is the authors' accepted manuscript, included in the repository with permission of the publisher.
Permission documentation is on file.