A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation

DOI10.1080/00036811.2017.1281407zbMath1460.65122OpenAlexW2580358249WikidataQ58181701 ScholiaQ58181701MaRDI QIDQ5856174

Na An, Chaobao Huang, Xi-Jun Yu

Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1281407

zbMATH Keywords

stabilityerror estimatesfractional diffusion-wave equationDDG method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (8)

Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity ⋮ Discrete singular convolution for fourth-order multi-term time fractional equation ⋮ A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations ⋮ The<scp>BDF2 FDM</scp>for the fourth‐order equations with the multi‐term<scp>R‐L</scp>fractional integral kernels ⋮ The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions ⋮ Analysis of BDF2 finite difference method for fourth-order integro-differential equation ⋮ Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution ⋮ A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

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