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math.NA2022★ 27 cited
A decreasing upper bound of energy for time-fractional phase-field equations
Chaoyu Quan, Tao Tang, Boyi Wang +1
In this article, we study the energy dissipation property of time-fractional Allen-Cahn equation. We propose a decreasing upper bound of energy that decreases with respect to time…
math.NA2021★ 30 cited
Energy Stable L2 Schemes for Time-Fractional Phase-Field Equations
Chaoyu Quan, Boyi Wang
In this article, the energy stability of two high-order L2 schemes for time-fractional phase-field equations is established. We propose a reformulation of the L2 operator and also…