Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients
From MaRDI portal
Publication:5031780
DOI10.1080/00207160.2018.1437262zbMath1499.65443OpenAlexW2789821700MaRDI QIDQ5031780
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1437262
error estimatecompact finite difference methodvariable coefficientfractional convection-reaction-diffusion equationstability and high-order convergence
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Related Items
A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times ⋮ Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation ⋮ An averaged \(L 1\)-type compact difference method for time-fractional mobile/immobile diffusion equations with weakly singular solutions ⋮ Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays ⋮ A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. ⋮ A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation ⋮ Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations ⋮ An RBF-FD method for the time-fractional advection-dispersion equation with nonlinear source term ⋮ Efficient compact finite difference method for variable coefficient fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions in conservative form ⋮ Numerical solution for solving fractional parabolic partial differential equations ⋮ Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients ⋮ A high-order compact difference method on fitted meshes for Neumann problems of time-fractional reaction-diffusion equations with variable coefficients ⋮ A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions ⋮ A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction-subdiffusion problems with a weak initial singularity ⋮ Numerical computation and stability analysis for the fractional subdiffusions with spatial variable coefficients ⋮ Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation ⋮ An efficient compact difference method for temporal fractional subdiffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- Combined compact difference scheme for the time fractional convection-diffusion equation with variable coefficients
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- A new difference scheme for the time fractional diffusion equation
- Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
- Numerical methods and analysis for a class of fractional advection-dispersion models
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations
- A compact finite difference scheme for the fractional sub-diffusion equations
- RBFs approximation method for time fractional partial differential equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation
- Some high order difference schemes for the space and time fractional Bloch-Torrey equations
- Finite difference approximations for the fractional Fokker-Planck equation
- A compact finite difference method for solving a class of time fractional convection-subdiffusion equations
- A three-point combined compact difference scheme
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- A high-order compact exponential scheme for the fractional convection-diffusion equation
- Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Compact finite difference scheme for the solution of time fractional advection-dispersion equation
- Some temporal second order difference schemes for fractional wave equations
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Fractional differentiation matrices with applications
- A class of second order difference approximations for solving space fractional diffusion equations
- Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
