Subdiffusion with time-dependent coefficients : improved regularity and second-order time stepping

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/89359

Title:	Subdiffusion with time-dependent coefficients : improved regularity and second-order time stepping
Authors:	Jin, B Li, B Zhou, Z
Issue Date:	Aug-2020
Source:	Numerische mathematik, Aug 2020, v. 145, no. 4, p. 883-913
Abstract:	This 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.
Publisher:	Springer
Journal:	Numerische mathematik
ISSN:	0029-599X
EISSN:	0945-3245
DOI:	10.1007/s00211-020-01130-2
Rights:	© Springer-Verlag GmbH Germany, part of Springer Nature 2020 This 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/s00211-020-01130-2
Appears in Collections:	Journal/Magazine Article

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