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

Computer Science – Computational Engineering – Finance – and Science

Scientific paper

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To appear in Int. J. of Engng. Anal. Bound Elem very soon. The present version has a little difference from the journal versio

Scientific paper

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.

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