High-order finite difference approximation of the Keller-Segel model with additional self- and cross-diffusion terms and a logistic source

DOI10.3934/nhm.2023065OpenAlexW4383098967MaRDI QIDQ6145332

Lin Zhang, Yongbin Ge, Panpan Xu

Publication date: 2 February 2024

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2023065

zbMATH Keywords

finite difference methodhigh-order accuracylogistic sourceKeller-Segel chemotaxis modelcross-diffusion termsself-diffusion terms

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Cell movement (chemotaxis, etc.) (92C17)

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