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Volume 9, Issue 3
Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

Hassan Zakerdoost, Hassan Ghassemi & Mehdi Iranmanesh

DOI: 10.4208/aamm.2014.m783

Adv. Appl. Math. Mech., 9 (2017), pp. 680-697.

Published online: 2018-05

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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 equation, dual reciprocity method, radial basis functions, fundamental solution.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-680, author = {Zakerdoost , HassanGhassemi , Hassan and Iranmanesh , Mehdi}, title = {Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m783}, url = {http://global-sci.org/intro/article_detail/aamm/12170.html} }
TY - JOUR T1 - Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method AU - Zakerdoost , Hassan AU - Ghassemi , Hassan AU - Iranmanesh , Mehdi JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 680 EP - 697 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2014.m783 UR - https://global-sci.org/intro/article_detail/aamm/12170.html KW - Convection-diffusion-reaction equation, dual reciprocity method, radial basis functions, fundamental solution. AB -

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.

Zakerdoost , HassanGhassemi , Hassan and Iranmanesh , Mehdi. (2018). Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method. Advances in Applied Mathematics and Mechanics. 9 (3). 680-697. doi:10.4208/aamm.2014.m783
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