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A corrected L1 scheme for solving a tempered subdiffusion equation with nonsmooth data
Li, Can Wang, Xin Yan, Yubin Hou, Zexin
Li, Can
Wang, Xin
Yan, Yubin
Hou, Zexin
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2025-07-23
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Abstract
In this paper, we consider a time semi-discrete scheme for a tempered subdiffusion equation with nonsmooth data. Due to the low regularity of the solution, the optimal convergence rate cannot be achieved when the L1 time-stepping scheme is directly applied to discretize the tempered fractional derivative. By introducing a correction term at the initial time step, we propose a corrected L1 scheme which recover to the optimal convergence rate. Theoretical error estimates and numerical experiments validate the improvement.
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Li, C., Wang, X., Yan, Y., & Hou, Z. (2025). A corrected L1 scheme for solving a tempered subdiffusion equation with nonsmooth data. Results in Applied Mathematics, 27, article-number 100613. https://doi.org/10.1016/j.rinam.2025.100613
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Elsevier
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Results in Applied Mathematics
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Article
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© 2025 The Author(s). Published by Elsevier B.V.
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2590-0374
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This work is supported by the National Natural Science Foundation of China under Grant No. 12371404, by the Science Basic Research Plan in Shaanxi Province of China under Grant No. 2023-JC-YB-045, and by the China Scholarship Council (CSC).