A Meshless Method Using the Radial Basis Functions for Numerical Solution of the Gilson-Pickering Equation

Abstract

In this article, thin plate splines radial basis function method is presented for solutions of Gilson-Pickering equation. This scheme works in a similar form as finite difference methods and we use collocation points for basis nodes in radial basis function. A numerical example is studied to demonstrate the accuracy and efficiency of the presented method.