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Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  17 January 2017

Hassan Zakerdoost ,
Hassan Ghassemi  and
Mehdi Iranmanesh
Hassan Zakerdoost*
Affiliation:
Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran
Hassan Ghassemi*
Affiliation:
Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran
Mehdi Iranmanesh
Affiliation:
Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran
*
*Corresponding author. Email:h.zakerdoost@aut.ac.ir (H. Zakerdoost), gasemi@aut.ac.ir (H. Ghassemi)
*Corresponding author. Email:h.zakerdoost@aut.ac.ir (H. Zakerdoost), gasemi@aut.ac.ir (H. Ghassemi)
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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.

Keywords

Convection-diffusion-reaction equationdual reciprocity methodradial basis functionsfundamental solution

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 680 - 697
Copyright
Copyright © Global-Science Press 2017 

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