Local discontinuous Galerkin methods coupled with implicit integration factor methods for solving reaction-cross-diffusion systems

DOI10.1155/2016/5345032zbMath1417.65165OpenAlexW2465551786WikidataQ59123549 ScholiaQ59123549MaRDI QIDQ1727470

Na An, Maochang Duan, Chaobao Huang, Xi-Jun Yu

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/5345032

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Nonintrusive model order reduction for cross-diffusion systems

Cites Work

• Unnamed Item
• Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion
• On nonlinear coupled diffusions in competition systems
• Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
• Turing patterns created by cross-diffusion for a Holling II and Leslie-Gower type three species food chain model
• Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods
• Turing patterns of a strongly coupled predator-prey system with diffusion effects
• Turing pattern formation in a predator-prey-mutualist system
• Spatial segregation in competitive interaction-diffusion equations
• A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects
• An energy-transport model for semiconductors derived from the Boltzmann equation.
• Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
• Direct discontinuous Galerkin method for nonlinear reaction-diffusion systems in pattern formation
• A mathematical model of plants as ecosystem engineers
• Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
• Efficient semi-implicit schemes for stiff systems
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes
• ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
• Analysis of a Parabolic Cross-Diffusion Semiconductor Model with Electron-Hole Scattering
• Turing Pattern Formation in the Brusselator Model with Superdiffusion
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• A Parabolic Cross-Diffusion System for Granular Materials
• The chemical basis of morphogenesis
• Fourth-Order Time-Stepping for Stiff PDEs
• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations
• Turing instabilities in general systems

This page was built for publication: Local discontinuous Galerkin methods coupled with implicit integration factor methods for solving reaction-cross-diffusion systems