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Finite volume method for a Keller-Segel problem

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)
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: 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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