Jin, B;
Li, B;
Zhou, Z;
(2020)
Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping.
Numerische Mathematik
, 145
pp. 883-913.
10.1007/s00211-020-01130-2.
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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.
| Type: | Article |
|---|---|
| Title: | Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00211-020-01130-2 |
| Publisher version: | https://doi.org/10.1007/s00211-020-01130-2 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10099691 |
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