Radial basis function Hermite collocation approach for the solution of time dependent convection-diffusion problems

This work presents a meshless numerical approach for the solution of time dependent convection-diffusion problems in terms of a Hermite radial basis function interpolation numerical scheme. To test the proposed scheme several numerical examples are analysed including problems with variable convective velocity and reaction coefficient. Comparisons are made with available analytical solutions. (C) 2005 Elsevier Ltd. All rights reserved.