Title

A Meshless Numerical Solution of the Family of Generalized Fifth-order Korteweg-de Vries Equations

Author(s)

Syed Tauseef Mohyud-Din, HITEC University
Elham Negahdary, University of Dayton
Muhammad Usman, University of DaytonFollow

Document Type

Article

Publication Date

2012

Publication Source

International Journal of Numerical Methods for Heat & Fluid Flow

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.

Copyright

Copyright © 2012, Emerald Publishing.

Publisher

Emerald

Volume

22

Issue

5

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)

eCommons Citation

Mohyud-Din, Syed Tauseef; Negahdary, Elham; and Usman, Muhammad, "A Meshless Numerical Solution of the Family of Generalized Fifth-order Korteweg-de Vries Equations" (2012). Mathematics Faculty Publications. 10.
https://ecommons.udayton.edu/mth_fac_pub/10