Positivity-preserving high-order compact difference method for the Keller-Segel chemotaxis model

The paper is concerned with development of an accurate and effective positivity-preserving high-order compact difference method for solving the Keller-Segel chemotaxis model, which is a kind of nonlinear parabolic-parabolic system in mathematical biology. Firstly, a stiffly-stable five-step fourth-o...

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Bibliographic Details

Published in:	Mathematical Biosciences and Engineering
Main Authors:	Lin Zhang, Yongbin Ge, Zhi Wang
Format:	Article
Language:	English
Published:	AIMS Press 2022-05-01
Subjects:	keller-segel chemotaxis model nonlinear advection diffusion reaction equation high-order compact difference scheme non-constant stationary positivity-preserving
Online Access:	https://www.aimspress.com/article/doi/10.3934/mbe.2022319?viewType=HTML