BDF6 SAV schemes for time-fractional Allen-Cahn dissipative systems
Abstract
Recently, the error analysis of BDFk (1≤slant k≤slant5) SAV (scalar auxiliary variable) schemes are given in Huangg:20 for the classical Allen-Cahn equation. However, it remains unavailable for BDF6 SAV schemes. In this paper, we construct and analyze BDF6 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.
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