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

2002/06/08 by W. Chen, Chen, W.
Computer Science · Engineering · #Computational Engineering #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Finance #Fluid Dynamics Simulations and Interactions #G1.3 #G1.8 #Geotechnical Engineering and Underground Structures #Numerical methods in engineering #and Science (cs.CE) #cs.CE #cs.CG

paper · pdf · doi:10.48550/arxiv.cs/0206013

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 [email protected]

arxiv created 2002/06/08 · openalex publication_date 2002/06/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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