Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model

DOI10.1016/j.camwa.2023.04.039zbMath1522.65138OpenAlexW4376277706MaRDI QIDQ6103637

Li Chai, Yang Liu, Hong Li, Wei Gao

Publication date: 5 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.04.039

zbMATH Keywords

compact difference schemespace fractional Gray-Scott modelBDF2-\(\theta\)TT-M fast algorithm

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• High order schemes for the tempered fractional diffusion equations
• A two-grid finite element approximation for a nonlinear time-fractional Cable equation
• Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion
• Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
• High-order algorithms for Riesz derivative and their applications. II
• Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
• Fourier spectral methods for fractional-in-space reaction-diffusion equations
• A compact finite difference scheme for the fractional sub-diffusion equations
• A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations
• Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
• Compact finite difference schemes with spectral-like resolution
• A stable fast time-stepping method for fractional integral and derivative operators
• A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection-diffusion equations
• An improved algorithm based on finite difference schemes for fractional boundary value problems with nonsmooth solution
• High-order quasi-compact difference schemes for fractional diffusion equations
• An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations
• An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation
• Fractional Gray-Scott model: well-posedness, discretization, and simulations
• A fast time two-mesh algorithm for Allen-Cahn equation
• Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions
• Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
• Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
• A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
• Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach
• Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media
• An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains
• Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations
• Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
• Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations
• Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients
• A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
• Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method
• Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
• High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations
• An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation
• TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model
• Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
• A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
• A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation
• Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
• Static spike autosolitons in the Gray-Scott model
• High-order compact difference schemes for the modified anomalous subdiffusion equation
• Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
• An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
• Pattern formation in the one-dimensional Gray - Scott model
• Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition
• Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions
• A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

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