Error estimate of the fast L1 method for time-fractional subdiffusion equations

DOI10.1016/j.aml.2022.108288OpenAlexW4283700665MaRDI QIDQ2161477

Fanhai Zeng, Yuxiang Huang, Ling Guo

Publication date: 4 August 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108288

zbMATH Keywords

Caputo fractional derivativefractional Gronwall inequalitytime-fractional subdiffusion equationfast time-stepping methodssum-of-exponentials

Mathematics Subject Classification ID

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

Related Items (2)

A corrected \(\mathrm{L}1\) method for a time-fractional subdiffusion equation ⋮ Enhanced parallel computation for time-fractional fluid dynamics: a fast time-stepping method with Newton-Krylov-Schwarz solver

Cites Work

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• Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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