A finite volume scheme for a Keller-Segel model with additional cross-diffusion

DOI10.1093/imanum/drs061zbMath1309.92035arXiv1208.0309OpenAlexW2156194051MaRDI QIDQ5398450

Ansgar Jüngel, Marianne Bessemoulin-Chatard

Publication date: 28 February 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0309

zbMATH Keywords

finite volume method chemotaxis numerical convergence entropy stability positivity preservation cross-diffusion model discrete entropy-dissipation inequality discrete logarithmic Sobolev inequality

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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