A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations
DOI10.1515/cmam-2020-0158OpenAlexW3132585289MaRDI QIDQ823675
Rezvan Ghaffari, Farideh Ghoreishi
Publication date: 16 December 2021
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2020-0158
graded meshfractional diffusion equationproper orthogonal decomposition (POD)compact finite difference (CFD)reduced CFD
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term
- A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
- Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation
- Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems
- Compact finite difference method for the fractional diffusion equation
- Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations
- Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations
- A new fractional finite volume method for solving the fractional diffusion equation
- Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem
- Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations
- A compact finite difference scheme for variable order subdiffusion equation
- Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains
- Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
- Compact finite difference scheme for the solution of time fractional advection-dispersion equation
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Matrix Analysis
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations
