Numerical simulation of a class of fractional subdiffusion equations via the alternating direction implicit method
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Publication:2804349
DOI10.1002/num.22004zbMath1339.65143OpenAlexW2098197870MaRDI QIDQ2804349
Boying Wu, Wen-Juan Yao, Shengzhu Shi, Jiebao Sun
Publication date: 29 April 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22004
stabilityconvergencediscrete energy methodfractional subdiffusion equationfractional alternating direction implicit scheme
Related Items (3)
A space-time spectral method for one-dimensional time fractional convection diffusion equations ⋮ An implicit Keller box numerical scheme for the solution of fractional subdiffusion equations ⋮ ADI Schemes for 2D Subdiffusion Equation
Cites Work
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- Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Compact finite difference method for the fractional diffusion equation
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Finite difference approximations for the fractional Fokker-Planck equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- A fully discrete difference scheme for a diffusion-wave system
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Finite difference/spectral approximations for the fractional cable equation
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Some questions from the general theory of difference schemes
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
- On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power
- A New Computational Procedure for A.D.I. Methods
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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