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Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method
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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.

Author Details

Hassan Zakerdoost

Hassan Ghassemi

Mehdi Iranmanesh

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