Volume 8, Issue 2
New Parallel Algorithm for Convection-Dominated Diffusion Equation

Guanyu Xue & Hui Feng

East Asian J. Appl. Math., 8 (2018), pp. 261-279.

Published online: 2018-05

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  • Abstract

A new parallel algorithm for convection-dominated diffusion equation is proposed. To derive an approximate solution of the problem at the same time level, we use two domain decomposition methods. The average of the solutions obtained is set to be new numerical solution. The algorithm demonstrates a high accuracy and is suitable for parallel computing. Approximate solution of two-dimensional convection-dominated diffusion equations is also considered. Numerical examples show the efficiency and reliability of the algorithm.

  • Keywords

Convection-dominated diffusion equation, finite difference, unconditional stability, parallelism.

  • AMS Subject Headings

65M06, 65M12, 65Y05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-261, author = {}, title = {New Parallel Algorithm for Convection-Dominated Diffusion Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {261--279}, abstract = {

A new parallel algorithm for convection-dominated diffusion equation is proposed. To derive an approximate solution of the problem at the same time level, we use two domain decomposition methods. The average of the solutions obtained is set to be new numerical solution. The algorithm demonstrates a high accuracy and is suitable for parallel computing. Approximate solution of two-dimensional convection-dominated diffusion equations is also considered. Numerical examples show the efficiency and reliability of the algorithm.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.240817.201217a}, url = {http://global-sci.org/intro/article_detail/eajam/12204.html} }
TY - JOUR T1 - New Parallel Algorithm for Convection-Dominated Diffusion Equation JO - East Asian Journal on Applied Mathematics VL - 2 SP - 261 EP - 279 PY - 2018 DA - 2018/05 SN - 8 DO - http://dor.org/10.4208/eajam.240817.201217a UR - https://global-sci.org/intro/article_detail/eajam/12204.html KW - Convection-dominated diffusion equation, finite difference, unconditional stability, parallelism. AB -

A new parallel algorithm for convection-dominated diffusion equation is proposed. To derive an approximate solution of the problem at the same time level, we use two domain decomposition methods. The average of the solutions obtained is set to be new numerical solution. The algorithm demonstrates a high accuracy and is suitable for parallel computing. Approximate solution of two-dimensional convection-dominated diffusion equations is also considered. Numerical examples show the efficiency and reliability of the algorithm.

Guanyu Xue & Hui Feng. (2020). New Parallel Algorithm for Convection-Dominated Diffusion Equation. East Asian Journal on Applied Mathematics. 8 (2). 261-279. doi:10.4208/eajam.240817.201217a
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