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.
- Method of lines (MOL),
- Radial basis function (RBF),
- Multiquadric (MQ),
- Inverse multiquadric (IMQ),
- Gaussian (GA),
- Generalized fifth-order Korteweg-de Vries (gfKdV)
Available at: http://works.bepress.com/muhammad_usman/8/