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math.NA2023★ 2 cited
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation
Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang
This study investigates a class of initial-boundary value problems pertaining to the time-fractional mixed sub-diffusion and diffusion-wave equation (SDDWE). To facilitate the deve…
math.NA2023
A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov +1
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional Allen-Cahn (tFAC) equation. Some esse…