High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method

Abstract

In this study, we presented the high-order fundamental solutions and general solutions of convection-diffusion equation. To demonstrate their efficacy, we applied the high-order general solutions to the boundary particle method (BPM) for the solution of some inhomogeneous convection-diffusion problems, where the BPM is a new truly boundary-only meshfree collocation method based on multiple reciprocity principle. For the sake of completeness, the BPM is also briefly described here.

To appear in Int. J. of Engng. Anal. Bound Elem very soon. The present version has a little difference from the journal version. Welcome to contact wenc@simula.no