Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

In this paper, we propose and analyze high-order efficient schemes for the time-fractional Allen-Cahn equation. The proposed are based on L1 discretization derivative extended scalar auxiliary variable (SAV) approach developed very recently to deal with nonlinear terms in main contributions of paper consist (1) constructing first- higher order unconditionally stable different mesh types, proving unconditional stability constructed uniform mesh; (2) carrying out numerical experiments verify efficiency investigate coarsening dynamics governed by particular, influence fractional behavior is carefully examined. Our evidence shows that more robust than existing methods, their less restricted particular forms potentials.