On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation
This paper describes a numerical solution for mathematical model of the transport equation in a simple rectangular box domain. The model of street tunnel pollution distribution using two-dimension advection and three-dimension diffusion is solved numerically. Because of the nature of the problem, th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/7597861 |
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| _version_ | 1849413175568498688 |
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| author | Jeffry Kusuma Agustinus Ribal Andi Galsan Mahie |
| author_facet | Jeffry Kusuma Agustinus Ribal Andi Galsan Mahie |
| author_sort | Jeffry Kusuma |
| collection | DOAJ |
| description | This paper describes a numerical solution for mathematical model of the transport equation in a simple rectangular box domain. The model of street tunnel pollution distribution using two-dimension advection and three-dimension diffusion is solved numerically. Because of the nature of the problem, the model is extended to become three-dimension advection and three-dimension diffusion to study the sea-sand mining pollution distribution. This model with various advection and diffusion parameters and the boundaries conditions is also solved numerically using a finite difference (FTCS) method. |
| format | Article |
| id | doaj-art-5cd7755abde445fd86383bc96592ced5 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-5cd7755abde445fd86383bc96592ced52025-08-20T03:34:13ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/75978617597861On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion EquationJeffry Kusuma0Agustinus Ribal1Andi Galsan Mahie2Department of Mathematics, Hasanuddin University, Makassar, IndonesiaDepartment of Mathematics, Hasanuddin University, Makassar, IndonesiaDepartment of Mathematics, Hasanuddin University, Makassar, IndonesiaThis paper describes a numerical solution for mathematical model of the transport equation in a simple rectangular box domain. The model of street tunnel pollution distribution using two-dimension advection and three-dimension diffusion is solved numerically. Because of the nature of the problem, the model is extended to become three-dimension advection and three-dimension diffusion to study the sea-sand mining pollution distribution. This model with various advection and diffusion parameters and the boundaries conditions is also solved numerically using a finite difference (FTCS) method.http://dx.doi.org/10.1155/2018/7597861 |
| spellingShingle | Jeffry Kusuma Agustinus Ribal Andi Galsan Mahie On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation International Journal of Differential Equations |
| title | On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation |
| title_full | On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation |
| title_fullStr | On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation |
| title_full_unstemmed | On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation |
| title_short | On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation |
| title_sort | on ftcs approach for box model of three dimension advection diffusion equation |
| url | http://dx.doi.org/10.1155/2018/7597861 |
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