Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/89359
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorJin, Ben_US
dc.creatorLi, Ben_US
dc.creatorZhou, Zen_US
dc.date.accessioned2021-03-18T03:04:41Z-
dc.date.available2021-03-18T03:04:41Z-
dc.identifier.issn0029-599Xen_US
dc.identifier.urihttp://hdl.handle.net/10397/89359-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer-Verlag GmbH Germany, part of Springer Nature 2020en US
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in Numerische Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00211-020-01130-2en US
dc.titleSubdiffusion with time-dependent coefficients : improved regularity and second-order time steppingen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage883en_US
dc.identifier.epage913en_US
dc.identifier.volume145en_US
dc.identifier.issue4en_US
dc.identifier.doi10.1007/s00211-020-01130-2en_US
dcterms.abstractThis article concerns second-order time discretization of subdiffusion equations with time-dependent diffusion coefficients. High-order differentiability and regularity estimates are established for subdiffusion equations with time-dependent coefficients. Using these regularity results and a perturbation argument of freezing the diffusion coefficient, we prove that the convolution quadrature generated by the second-order backward differentiation formula, with proper correction at the first time step, can achieve second-order convergence for both nonsmooth initial data and incompatible source term. Numerical experiments are consistent with the theoretical results.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationNumerische mathematik, Aug 2020, v. 145, no. 4, p. 883-913en_US
dcterms.isPartOfNumerische mathematiken_US
dcterms.issued2020-08-
dc.identifier.scopus2-s2.0-85087017221-
dc.identifier.eissn0945-3245en_US
dc.description.validate202103 bcvcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumbera0602-n07-
dc.identifier.SubFormID552-
dc.description.fundingSourceRGCen_US
dc.description.fundingText15300817en_US
dc.description.pubStatusPublisheden_US
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