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- W4287207679 abstract "Recently, the error analysis of BDF$k$ $(1leqslant kleqslant5)$ SAV (scalar auxiliary variable) schemes are given in cite{Huangg:20} for the classical Allen-Cahn equation. However, it remains unavailable for BDF$6$ SAV schemes. In this paper, we construct and analyze BDF$6$ 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." @default.
- W4287207679 created "2022-07-25" @default.
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- W4287207679 date "2021-04-18" @default.
- W4287207679 modified "2023-10-16" @default.
- W4287207679 title "BDF$6$ SAV schemes for time-fractional Allen-Cahn dissipative systems" @default.
- W4287207679 hasPublicationYear "2021" @default.
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