BDF$6$ SAV schemes for time-fractional Allen-Cahn dissipative systems
Numerical Analysis
2021-04-20 v1 Numerical Analysis
Abstract
Recently, the error analysis of BDF SAV (scalar auxiliary variable) schemes are given in \cite{Huangg:20} for the classical Allen-Cahn equation. However, it remains unavailable for BDF SAV schemes. In this paper, we construct and analyze BDF SAV schemes for the time-fractional dissipative systems. We carry out a rigorous error analysis for the time-fractional Allen-Cahn equation, which also fills up a gap for the classical case. Finally, numerical experiment is shown to illustrate the effectiveness of the presented methods. As far as we know, this is the first SAV schemes for the time-fractional dissipative systems.
Keywords
Cite
@article{arxiv.2104.09032,
title = {BDF$6$ SAV schemes for time-fractional Allen-Cahn dissipative systems},
author = {Fan Yu and Minghua Chen},
journal= {arXiv preprint arXiv:2104.09032},
year = {2021}
}
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17 pages