A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

DOI10.1137/16M1175742zbMath1414.65008arXiv1803.09879OpenAlexW2794616828MaRDI QIDQ4620321

Hong-lin Liao, Jiwei Zhang, William McLean

Publication date: 8 February 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09879

zbMATH Keywords

nonuniform time mesh fractional subdiffusion equations discrete Grönwall inequality discrete Caputo derivative

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

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