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A corrected L1 scheme for solving a tempered subdiffusion equation with nonsmooth data

dc.contributor.authorLi, Can
dc.contributor.authorWang, Xin
dc.contributor.authorYan, Yubin
dc.contributor.authorHou, Zexin
dc.date.accessioned2025-07-28T08:26:06Z
dc.date.available2025-07-28T08:26:06Z
dc.date.issued2025-07-23
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/629549/Yan%20-%20A%20corrected%20L1%20scheme%20for%20solving%20tempered%20subdiffusion.pdf?sequence=2
dc.identifier.citationLi, 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.2025.100613en_US
dc.identifier.doi10.1016/j.rinam.2025.100613en_US
dc.identifier.urihttp://hdl.handle.net/10034/629549
dc.description© 2025 The Author(s). Published by Elsevier B.V.en_US
dc.description.abstractIn 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.en_US
dc.description.sponsorshipThis 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).en_US
dc.publisherElsevieren_US
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S2590037425000779?via%3Dihuben_US
dc.rightsLicence for VoR version of this article starting on 2025-06-30: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.sourceissn: 25900374
dc.subjectTempered fractional derivativeen_US
dc.subjectL1-corrected schemeen_US
dc.subjectStabilityen_US
dc.subjectConvergenceen_US
dc.titleA corrected L1 scheme for solving a tempered subdiffusion equation with nonsmooth dataen_US
dc.typeArticleen_US
dc.identifier.eissn2590-0374en_US
dc.contributor.departmentXi’an University of Technology; University of Chesteren_US
dc.identifier.journalResults in Applied Mathematicsen_US
dc.date.updated2025-07-26T00:19:04Z
dc.date.accepted2025-06-30
rioxxterms.identifier.projectn/aen_US
rioxxterms.versionVoRen_US
rioxxterms.licenseref.startdate2025-07-23
dc.date.deposited2025-07-28en_US


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Licence for VoR version of this article starting on 2025-06-30: http://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as Licence for VoR version of this article starting on 2025-06-30: http://creativecommons.org/licenses/by-nc-nd/4.0/