Year: 2017
Author: Hassan Zakerdoost, Hassan Ghassemi, Mehdi Iranmanesh
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 680–697
Abstract
In this work we utilize the boundary integral equation and the Dual Reciprocity Boundary Element Method (DRBEM) for the solution of the steady state convection-diffusion-reaction equations with variable convective coefficients in two-dimension. The DRBEM is a numerical method to transform the domain integrals into the boundary only integrals by using the fundamental solution of Helmholtz equation. Some examples are calculated to confirm the accuracy of the approach. The results obtained by the analytic solutions are in good agreement with ones provided by the DRBEM technique.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m783
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 680–697
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Convection-diffusion-reaction equation dual reciprocity method radial basis functions fundamental solution.