An explicit hybrid finite difference scheme for the Allen-Cahn equation
type: Item
instance of: scholarly article
title: An explicit hybrid finite difference scheme for the Allen-Cahn equation
zbMATH Open document ID: 1432.65121
author: Darae Jeong
author: Junseok Kim
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-12T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6885681
zbMATH Keywords: Allen-Cahn equation
zbMATH Keywords: finite difference method
zbMATH Keywords: explicit hybrid method
zbMATH Keywords: operator splitting method
MaRDI profile type: Publication
full work available at URL: j.cam.2018.02.026
OpenAlex ID: W2789893839
cites work: Geometrical image segmentation by the Allen-Cahn equation
cites work: An unconditionally stable hybrid method for image segmentation
cites work: Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
cites work: A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
cites work: Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
cites work: A new approach for the numerical solution of diffusion equations with variable and degenerate mobility
cites work: Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
cites work: Time discretizations of anisotropic Allen-Cahn equations
cites work: Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
cites work: A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
cites work: Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model
cites work: An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
cites work: A semi-analytical Fourier spectral method for the Allen-Cahn equation
cites work: Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations
cites work: A hybrid FEM for solving the Allen-Cahn equation
cites work: Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
cites work: Error analysis of stabilized semi-implicit method of Allen-Cahn equation
cites work: An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
cites work: A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms
cites work: Fast explicit integration factor methods for semilinear parabolic equations
cites work: An explicit nonstandard finite difference scheme for the Allen–Cahn equation
cites work: Stability of immersed viscous liquid threads under electric field
cites work: The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
cites work: Q5746660
cites work: A level set simulation of dendritic solidification of multi-component alloys
Wikidata QID: Q130188121
DOI: 10.1016/J.CAM.2018.02.026
description: scientific article; zbMATH DE number 6885681