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

W. Chen
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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.

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W. Chen. 2002-06-08. High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method. https://arxiv.org/abs/cs/0206013

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