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- W4301818650 abstract "An initial-boundary value problem with a Caputo time derivative of fractional order $alphain(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For this problem, we give a simple framework for the analysis of the error of L1-type discretizations on graded and uniform temporal meshes in the $L_infty$ and $L_2$ norms. This framework is employed in the analysis of both finite difference and finite element spatial discretiztions. Our theoretical findings are illustrated by numerical experiments." @default.
- W4301818650 created "2022-10-05" @default.
- W4301818650 creator A5047032067 @default.
- W4301818650 date "2017-09-26" @default.
- W4301818650 modified "2023-09-27" @default.
- W4301818650 title "Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions" @default.
- W4301818650 doi "https://doi.org/10.48550/arxiv.1709.09136" @default.
- W4301818650 hasPublicationYear "2017" @default.
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