Finite volume method for a Keller-Segel problem
In this paper, we are interested in the numerical simulation of the mathematical model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain assumptions, the existence of...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English English |
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IOP Publishing
2018
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| Online Access: | http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf |
| _version_ | 1848785736706293760 |
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| author | Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A |
| author_facet | Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A |
| author_sort | Messikh, C |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we are interested in the numerical simulation of the mathematical
model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume
scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain
assumptions, the existence of a unique and positive approximate solution. Moreover, under
adequate regularity assumption of the exact solution, the finite volume scheme is the first order
accurate. A good agreement between our numerical simulation and the theoretical results has
been obtained. |
| first_indexed | 2025-11-14T16:57:53Z |
| format | Proceeding Paper |
| id | iium-61803 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:57:53Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-618032018-10-15T07:29:08Z http://irep.iium.edu.my/61803/ Finite volume method for a Keller-Segel problem Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A QA297 Numerical Analysis In this paper, we are interested in the numerical simulation of the mathematical model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain assumptions, the existence of a unique and positive approximate solution. Moreover, under adequate regularity assumption of the exact solution, the finite volume scheme is the first order accurate. A good agreement between our numerical simulation and the theoretical results has been obtained. IOP Publishing 2018-01-02 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf application/pdf en http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf application/pdf en http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf Messikh, C and Chowdhury, Md. Sazzad Hossien and Guesmia, A and Berkane, A (2018) Finite volume method for a Keller-Segel problem. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17), 8th–9th August 2017, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012015/pdf 10.1088/1742-6596/949/1/012015 |
| spellingShingle | QA297 Numerical Analysis Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A Finite volume method for a Keller-Segel problem |
| title | Finite volume method for a Keller-Segel problem |
| title_full | Finite volume method for a Keller-Segel problem |
| title_fullStr | Finite volume method for a Keller-Segel problem |
| title_full_unstemmed | Finite volume method for a Keller-Segel problem |
| title_short | Finite volume method for a Keller-Segel problem |
| title_sort | finite volume method for a keller-segel problem |
| topic | QA297 Numerical Analysis |
| url | http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf |