Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_{\sigma }$ scheme for time fractional Allen-Cahn model

Hong-lin Liao, Xiaohan Zhu, Hong Sun

We build an asymptotically compatible energy of the variable-step L2-$1_{\sigma }$ scheme for the time-fractional Allen-Cahn model with the Caputo's fractional derivative of order $α\in(0,…