Numerical Solution of Initial Boundary Value Problems by MOL-RBF Method

Abstract

recently developed meshless method, namely the radial basis function (RBF) combined with method of lines (MOL), i.e MOLRBF is used to find numerical solution of initial boundary value problems. Numerical examples are given to illustrate the practical usefulness of this approach. 2 , L L norms and RMS are used for error estimation. Superiority of the proposed method is shown as compared with two existing numerical methods such as variational iteration method and finite difference method.