Skip to main content
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
  • Syed Tauseef Mohyud-Din, HITEC University
  • Elham Negahdary, University of Dayton
  • Muhammad Usman, University of Dayton
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
Comments

The document available for download is the authors' accepted manuscript, included in the repository with permission of the publisher.

Permission documentation is on file.

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)
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/