International Journal of Numerical Methods for Heat & Fluid Flow
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.
Copyright © 2012, Emerald Publishing.
Method of lines (MOL), Meshless, Radial basis function (RBF), Multiquadric (MQ), Inverse multiquadric (IMQ), Gaussian (GA), Generalized fifth-order Korteweg-de Vries (gfKdV)
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.