The time-fractional Allen-Cahn equation on geometric computational domains

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)

Cites Work

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation
Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
The fractional Allen-Cahn equation with the sextic potential
An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation
The analysis of an efficient numerical scheme for the Allen-Cahn equations using the Galerkin method
New explicit and accelerated techniques for solving fractional order differential equations
A fast and efficient numerical algorithm for fractional Allen-Cahn with precise nonlocal mass conservation
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
Time-fractional Allen-Cahn equations: analysis and numerical methods
Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
Metastable speeds in the fractional Allen-Cahn equation
Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations
ISOGEOMETRIC COLLOCATION METHODS
Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
Mean curvature flow by the Allen–Cahn equation
Isogeometric Analysis
ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method
Mapping techniques for collocation method of time-fractional convection-diffusion equations in domains with cracks
On high-order schemes for the space-fractional conservative Allen-Cahn equations with local and local-nonlocal operators
Space fractional Allen-Cahn equation and its applications in phase separation: a numerical study

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