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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
a0602-n07.pdf | Pre-Published version | 485.57 kB | Adobe PDF | View/Open |
Page views
103
Last Week
0
0
Last month
Citations as of Apr 14, 2025
Downloads
79
Citations as of Apr 14, 2025
SCOPUSTM
Citations
29
Citations as of May 8, 2025
WEB OF SCIENCETM
Citations
23
Citations as of Oct 10, 2024

Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.