Numerical solution for the chemotaxis model by finite difference method
The finite difference method for discretization space fractional chemotaxis model is introduced in this study. The space fractional chemotaxis system is obtained from the classical advection-diffusion equations of the chemotaxis system by replacing the spatial derivative with a generalized derivativ...
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Main Authors: | , , , , , |
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Format: | Conference or Workshop Item |
Language: | English English |
Published: |
Institute of Physics Publishing
2020
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Subjects: | |
Online Access: | http://irep.iium.edu.my/82717/1/82717_Numerical%20solution%20for%20the%20chemotaxis%20model%20by%20finite%20difference%20method_ft.pdf http://irep.iium.edu.my/82717/2/82717_Numerical%20solution%20for%20the%20chemotaxis%20model%20by%20finite%20difference%20method_scopus.pdf http://irep.iium.edu.my/82717/ https://iopscience.iop.org/article/10.1088/1742-6596/1489/1/012008 |
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Summary: | The finite difference method for discretization space fractional chemotaxis model is introduced in this study. The space fractional chemotaxis system is obtained from the classical advection-diffusion equations of the chemotaxis system by replacing the spatial derivative with a generalized derivative of fractional order. We compare the numerical solution of finite difference method and exact solution for a test example. The results reveal that the finite difference method is very simple and efficient for solving space fractional chemotaxis system. |
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