\(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation
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Publication:2063166
DOI10.1007/s10915-021-01726-2zbMath1480.65258OpenAlexW4200177567MaRDI QIDQ2063166
Publication date: 10 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01726-2
Fractional derivatives and integrals (26A33) 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)
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\(\alpha\)-robust \(H^1\)-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions ⋮ \(\alpha\)-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives ⋮ Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions ⋮ Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian ⋮ Error analysis of a finite difference method for the distributed order sub-diffusion equation using discrete comparison principle ⋮ Unconditional energy dissipation law and optimal error estimate of fast L1 schemes for a time-fractional Cahn-Hilliard problem ⋮ An \(\alpha\)-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution ⋮ Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation ⋮ An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties ⋮ Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation ⋮ Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation ⋮ Optimal error analysis of the alikhanov formula for a time-fractional Schrödinger equation
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