Error analysis of a high-order compact ADI method for two-dimensional fractional convection-subdiffusion equations

DOI10.1007/s10092-015-0150-3zbMath1359.65173OpenAlexW1213716720MaRDI QIDQ331792

Yuan-Ming Wang, Tao Wang

Publication date: 27 October 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-015-0150-3

zbMATH Keywords

stabilityconvergencenumerical examplesfinite difference schemeerror estimatealternating direction implicit (ADI) approximationfractional convection-subdiffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (5)

High-order numerical algorithms for the time-fractional convection–diffusion equation ⋮ High-order compact difference methods for Caputo-type variable coefficient fractional sub-diffusion equations in conservative form ⋮ A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation ⋮ A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions ⋮ A high-order \(L2\)-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients

Uses Software

• FODE

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