Abstract
Time-fractional initial-boundary problems of parabolic type are considered. Previously, global error bounds for computed numerical solutions to such problems have been provided by Liao et al. (SIAM J. Numer. Anal. 2018, 2019) and Stynes et al. (SIAM J. Numer. Anal. 2017). In the present work we show how the concept of complete monotonicity can be combined with these older analyses to derive local error bounds (i.e., error bounds that are sharper than global bounds when one is not close to the initial time
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11801026
Award Identifier / Grant number: NSAF U1930402
Funding statement: The research of Hu Chen is supported in part by the National Natural Science Foundation of China young scientists fund Grant 11801026. The research of Martin Stynes is supported in part by the National Natural Science Foundation of China under grant NSAF U1930402.
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