Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation

DOI10.1016/j.camwa.2021.08.012OpenAlexW3194530302MaRDI QIDQ2234876

Yanyan Li

Publication date: 19 October 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.012

zbMATH Keywords

ADI schemepointwise error estimatetime-fractional diffusion\(\alpha\)-robustsharp error analysis

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

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α#x02010;robust H¹‐norm convergence analysis of L1FEM‐ADI scheme for 2D/3D subdiffusion equation with initial singularity ⋮ Pointwise-in-time error estimate of an ADI scheme for two-dimensional multi-term subdiffusion equation

Cites Work

• An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
• Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
• Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation
• Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem
• Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system
• Numerically pricing convertible bonds under stochastic volatility or stochastic interest rate with an ADI-based predictor-corrector scheme
• An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model
• A mass-conservative higher-order ADI method for solving unsteady convection-diffusion equations
• A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
• A discrete comparison principle for the time-fractional diffusion equation
• Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
• ADI scheme for partially dimension reduced heat conduction models
• Convergence analysis of the finite difference ADI scheme for variable coefficient parabolic problems with nonzero Dirichlet boundary conditions
• Blow-up of error estimates in time-fractional initial-boundary value problems
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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