Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation

DOI10.1007/S11075-014-9926-9zbMath1322.65087OpenAlexW2024409794MaRDI QIDQ494670

Jincheng Ren, Guang-hua Gao

Publication date: 1 September 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-014-9926-9

zbMATH Keywords

stabilityconvergencenumerical experimentdiscrete energy methodADI schemealternating direction implicit (ADI) methodcompact ADI difference schemefractional Cattaneo equation

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (9)

Efficient Galerkin finite element methods for a time-fractional Cattaneo equation ⋮ A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation ⋮ Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method ⋮ A Crank-Nicolson-type compact difference method and its extrapolation for time fractional Cattaneo convection-diffusion equations with smooth solutions ⋮ An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions ⋮ Unnamed Item ⋮ Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator ⋮ The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation ⋮ An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry

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