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.
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Abstract
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.
Item Type: | Conference or Workshop Item (Plenary Papers) |
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Additional Information: | 5807/61803 |
Uncontrolled Keywords: | Approximate solution, Exact solution, Finite volume schemes, First order, Keller-segel, Parabolic model, Parabolic problems, Regularity assumption |
Subjects: | Q Science > QA Mathematics > QA297 Numerical Analysis |
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering > Department of Science |
Depositing User: | Dr. Md Sazzad Hossien Chowdhury |
Date Deposited: | 05 Feb 2018 16:18 |
Last Modified: | 15 Oct 2018 15:29 |
URI: | http://irep.iium.edu.my/id/eprint/61803 |
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