MOVING GRID METHOD WITH FLUX LIMITERS FOR NUMERICAL SOLUTION OF PARABOLIC-PARABOLIC KELLER-SEGEL CHEMOTAXIS MODEL
Keywords:
chemotaxis, parabolic-parabolic Keller-Segel model, flux limiters, moving grid.DOI:
https://doi.org/10.17654/0975045222002Abstract
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.
Received: January 27, 2022
Accepted: March 11, 2022
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