Sharp $H^1$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems

DOI10.1016/j.cam.2020.113352zbMath1467.65086arXiv1811.08059OpenAlexW3115547175MaRDI QIDQ2226278

Zhimin Zhang, Jincheng Ren, Jiwei Zhang, Hong-lin Liao

Publication date: 11 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08059

zbMATH Keywords

initial singularity sharp $H^1$-norm error estimate discrete Grönwall inequality reaction-subdiffusion problems time-space error-splitting technique

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems