Adaptive moving mesh upwind scheme for the two-species chemotaxis model

DOI10.1016/j.camwa.2019.01.021zbMath1442.92014OpenAlexW2920808503WikidataQ128242301 ScholiaQ128242301MaRDI QIDQ2204034

Alexander Kurganov, Alina E. Chertock, Mario Ricchiuto, Tong Wu

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-02064581/file/Chertock-Kurganov-Ricchiuto-Wu.pdf

zbMATH Keywords

two-species chemotaxis systemadaptive moving mesh (AMM) methodfinite-volume upwind methodsingular (spiky) solutions

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Solving a chemotaxis-haptotaxis system in 2D using generalized finite difference method ⋮ A novel growing wavelet neural network algorithm for solving chemotaxis systems with blow‐up ⋮ High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source

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