Semi-implicit finite volume schemes for a chemotaxis-growth model

DOI10.1016/j.indag.2016.01.004zbMath1382.65265OpenAlexW2278446733MaRDI QIDQ297978

M. Benzakour Amine, M. Akhmouch

Publication date: 20 June 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2016.01.004

zbMATH Keywords

growthconvergence analysispattern formationchemotaxisfinite volume schemesemi-implicit scheme

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Theoretical approximation in context of PDEs (35A35) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Quasilinear parabolic equations (35K59)

Related Items (4)

A time semi-exponentially fitted scheme for chemotaxis-growth models ⋮ A corrected decoupled scheme for chemotaxis models ⋮ Linearized implicit methods based on a single-layer neural network: application to Keller-Segel models ⋮ Keller-Segel chemotaxis models: a review

Uses Software

• Chemotaxis

Cites Work

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• Finite volume methods for degenerate chemotaxis model
• Spatio-temporal chaos in a chemotaxis model
• Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis
• Initiation of slime mold aggregation viewed as an instability
• Compact sets in the space \(L^ p(0,T;B)\)
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• A positivity-preserving finite element method for chemotaxis problems in 3D
• Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
• Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
• A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
• A flux-corrected finite element method for chemotaxis problems
• On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
• Random walk with persistence and external bias
• The Fitting of a Generalization of the Logistic Curve
• LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
• Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
• Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• A Chemotaxis System with Logistic Source
• New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
• Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
• Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
• Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains

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