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