Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations

DOI10.1007/s11075-020-01037-xzbMath1496.65111OpenAlexW3118762679WikidataQ110648880 ScholiaQ110648880MaRDI QIDQ2048823

Rui-lian Du, Zhi-zhong Sun

Publication date: 24 August 2021

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

Full work available at URL: https://doi.org/10.1007/s11075-020-01037-x

zbMATH Keywords

stabilityregularityconvergencedifference methodmulti-term time fractional mixed diffusion and wave equationstime distributed-order diffusion and wave equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Brownian motion (60J65) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (8)

A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations ⋮ An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation ⋮ A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation ⋮ Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems ⋮ Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain ⋮ Single-term and multi-term nonuniform time-stepping approximation methods for two-dimensional time-fractional diffusion-wave equation ⋮ Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions

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