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In this paper, the second-order scalar auxiliary variable approach combined with finite difference method is employed for the Allen–Cahn equation that ...
In this paper, the second-order scalar auxiliary variable approach combined with finite difference method is employed for the Allen–Cahn equation that ...
Apr 15, 2020 · That is to say, this finite difference technique requires one to solve an equation that involves both the current and subsequent stage in time ...
Missing: SAV | Show results with:SAV
The present study proposes a numerical method to solve the time-fractional Allen–Cahn equation. The Grunwald–Letnikov formula is employed for discretizing ...
Dec 1, 2023 · In this paper, the weak Galerkin finite element method with the scalar auxiliary variable (SAV) approach is considered for the Allen-Cahn equation.
This work is concerned with the proof of a posteriori error estimates for fully discrete Galerkin approximations of the Allen--Cahn equation in two and three ...
We present an efficient numerical scheme for the conservative Allen–Cahn (CAC) equation on various surfaces embedded in a narrow band domain in the ...
[PDF] generalized sav-exponential integrator schemes for allen–cahn ...
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In recent years, numerical schemes preserving the energy dissipation law have attracted a lot of attention for time integration of the Allen–Cahn type equations.
The reduced order model is essentially a new spatial discretisation method by using low dimensional approximations to the original approximation space.
Abstract. Stability analyses and error estimates are carried out for a num- ber of commonly used numerical schemes for the Allen-Cahn and Cahn-Hilliard.