This paper is devoted to the numerical resolution of parabolic-parabolic Keller-Segel chemotaxis model in one dimension with moving grid method combined to the flux limiters under method of lines. This problem has already been solved with finite difference, finite volume, finite element approximations and other numerical methods by some authors. The aim here is to use some flux limiters approximations instead of finite difference approximations, in order to improve efficiently numerical solutions.

chemotaxis, parabolic-parabolic Keller-Segel model, flux limiters, moving grid.

Received: January 27, 2022; Accepted: March 11, 2022; Published: May 21, 2022

How to cite this article: Ouédraogo Mamadou, Lamien Kassiénou and Somé Longin, Moving grid method with flux limiters for numerical solution of parabolic-parabolic Keller-Segel chemotaxis model, International Journal of Numerical Methods and Applications 21 (2022), 17-36. http://dx.doi.org/10.17654/0975045222002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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