Numerical solution for the chemotaxis model by finite difference method

• Main Authors: Messikh, Chahrazed, Chowdhury, Md. Sazzad Hossien, Guesmia, Amar, Mawa, Shukranul, Okhunov, Abdurahim, Mt Aznam, Suazlan
• Format: Conference or Workshop Item
• Language: English; English
• Published: Institute of Physics Publishing 2020
• Subjects: Q Science (General); TP155 Chemical engineering
• 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

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.