Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source
From MaRDI portal
Publication:2247082
DOI10.1016/j.cnsns.2021.106063OpenAlexW3204142843WikidataQ112880710 ScholiaQ112880710MaRDI QIDQ2247082
Akil J. Harfash, Sattar M. Hassan
Publication date: 16 November 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106063
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Physiological, cellular and medical topics (92Cxx)
Related Items (7)
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source ⋮ A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion ⋮ Properties of the generalized Chavy-Waddy-Kolokolnikov model for description of bacterial colonies ⋮ High-order finite difference approximation of the Keller-Segel model with additional self- and cross-diffusion terms and a logistic source ⋮ Finite element analysis of the two-competing-species Keller-Segel chemotaxis model ⋮ Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions ⋮ Finite element analysis of a two-species chemotaxis system with two chemicals
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonnegativity of exact and numerical solutions of some chemotactic models
- Blowup of solutions to generalized Keller-Segel model
- On a chemotaxis model with saturated chemotactic flux
- Model for chemotaxis
- A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Nonnegativity preserving convergent schemes for the thin film equation
- Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Finite element approximation of a nonlinear cross-diffusion population model
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- Pattern formation. I: The Keller-Segel model
- A space time conservation element and solution element method for solving two-species chemotaxis model
- Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence
- Solving a chemotaxis-haptotaxis system in 2D using generalized finite difference method
- Adaptive moving mesh upwind scheme for the two-species chemotaxis model
- Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis
- On finite volume discretization of infiltration dynamics in tumor growth models
- Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D
- Pattern formation of a Keller-Segel model with the source term \(u^p(1 - u)\)
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and \textit{a priori} bounds
- Blow-up in a chemotaxis model without symmetry assumptions
- Random walk with persistence and external bias
- Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model
- Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film
- Finite Element Approximation of Surfactant Spreading on a Thin Film
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL
- Chemotaxis on networks: Analysis and numerical approximation
- High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models
- Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Pattern formation (II): The Turing Instability
- EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- Fractional step methods applied to a chemotaxis model
This page was built for publication: Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source
