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

By Hong-lin Liao, William McLean, Jiwei Zhang. SIAM Journal on Numerical Analysis, 2018

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We consider a class of numerical approximations to the Caputo fractional derivative. Our assumptions permit the use of nonuniform time steps, such as is appropriate for accurately resolving the beh...

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e4c70f4f83ed1249bdaa6c728162ab31f2006897