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math.NA2025
A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
Dianming Hou, Zhonghua Qiao, Tao Tang
As a variational phase-field model, the time-fractional Allen-Cahn (TFAC) equation enjoys the maximum bound principle (MBP) and a variational energy dissipation law. In this work,…
math.NA2025
Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
Hongfei Fu, Dianming Hou, Zhonghua Qiao +1
In this paper, we investigate linear first- and second-order numerical schemes for the Allen--Cahn equation with a general (possibly degenerate) mobility. Compared with existing nu…