On the asymptotically compatible energies of L1 and L1-SAV schemes for time-fractional Allen-Cahn model

Key Points

• The asymptotic compatibility of L1 and L1-SAV schemes impacts model performance significantly.
• Key evidence reveals improved numerical stability and accuracy when utilizing these schemes together.
• An analysis of the time-fractional Allen-Cahn model shows that these methodologies enhance solution fidelity.
• This work highlights the importance of robust numerical methods in solving complex dynamical models.