A HIGH ORDER DIFFERENCE METHOD FOR FRACTIONAL SUB-DIFFUSION EQUATIONS WITH THE SPATIALLY VARIABLE COEFFICIENTS UNDER PERIODIC BOUNDARY CONDITIONS
DOI10.11948/20180150zbMath1458.65116OpenAlexW3003849999MaRDI QIDQ4964055
Yan Mo, Zhibo Wang, Huiqin Zhang
Publication date: 24 February 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/20180150
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) Fractional partial differential equations (35R11)
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Cites Work
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- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term
- 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
- A compact finite difference scheme for the fractional sub-diffusion equations
- Compact finite difference method for the fractional diffusion equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Finite difference scheme with spatial fourth-order accuracy for a class of time fractional parabolic equations with variable coefficient
- Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient
- Finite difference approximations for fractional advection-dispersion flow equations
- The method of difference potentials for the Helmholtz equation using compact high order schemes
- A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates
- An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
- A high order compact finite difference scheme for time fractional Fokker-Planck equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- A fully discrete difference scheme for a diffusion-wave system
- A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
- Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Fast high order difference schemes for the time fractional telegraph equation
- A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
- Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
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