A high-order compact difference method on fitted meshes for Neumann problems of time-fractional reaction-diffusion equations with variable coefficients
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Publication:1998344
DOI10.1016/j.matcom.2020.10.014OpenAlexW3094466308MaRDI QIDQ1998344
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.10.014
compact finite difference methodnonhomogeneous Neumann boundary conditionfractional reaction-diffusion equationsnonuniform time meshweak initial singularity
Related Items (2)
Local analysis of L1-finite difference method on graded meshes for multi-term two-dimensional time-fractional initial-boundary value problem with Neumann boundary conditions ⋮ Barycentric rational interpolation method for solving time-dependent fractional convection-diffusion equation
Cites Work
- Unnamed Item
- A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions
- Combined compact difference scheme for the time fractional convection-diffusion equation with variable coefficients
- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
- A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition
- Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient
- Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem
- A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- High-order finite difference methods for the Helmholtz equation
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
- A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions
- An unconditionally stable andO(?2 +h4) orderL? convergent difference scheme for linear parabolic equations with variable coefficients
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
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