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: | Conference or Workshop Item |
| Language: | English English English |
| Published: |
IOP Publishing
2018
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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