Author(s)

A. La Rocca, A. Hernandez Rosales & H. Power

Abstract

This work present a meshless numerical approach for the solution of initial value problems of time dependent Partial Differential Equations in terms of a symmetric radial basis function interpolation scheme. Numerical examples showing the performance of the scheme for two different problems are given. 1 Introduction The use of a mesh is a basic characteristic of traditional numerical approaches for the solution of partial differential equations. This is the case for domain methods as are the finite difference, element and volume and also for boundary methods such as the boundary element method. In the case of domain methods, assumptions are made for the local approximation, which require internal mesh to support them. On the other han

Keywords