A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations

Syed Tauseef Mohyud‐Din, Elham Negahdary, Muhammad Usman
2012 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.
doi:10.1108/09615531211231280 fatcat:gvz35a5yjfe7leslof5ebxjiwu