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.
Original language | English |
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Pages (from-to) | 883–913 |
Number of pages | 31 |
Journal | Numerische Mathematik |
Volume | 145 |
Issue number | 4 |
DOIs | |
Publication status | E-pub ahead of print - 29 Jun 2020 |
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics