An unconditionally stable scheme for the Allen–Cahn equation with high-order polynomial free energy-Reference-Cited by-同舟云学术

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An unconditionally stable scheme for the Allen–Cahn equation with high-order polynomial free energy

Published:2021-04 Issue: Volume:95 Page:105658
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Lee Chaeyoung,Kim Hyundong,Yoon Sungha,Kim Sangkwon,Lee Dongsun,Park Jinate,Kwak Soobin,Yang Junxiang,Wang Jian,Kim Junseok

Funder

National Research Foundation of Korea

Kementerian Pendidikan Malaysia

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference38 articles.

1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metall,1979

2. Geometrical image segmentation by the Allen–Cahn equation;Benes;Appl Numer Math,2004

3. Unexpected selection of growing dendrites by very-large-scale phase-field simulation;Takaki;J Cryst Growth,2013

4. Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach;Zhao;Int J Numer Methods Eng,2017

5. Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow;Feng;IMA J Numer Anal,2015

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1. Shape transformation on curved surfaces using a phase-field model;Communications in Nonlinear Science and Numerical Simulation;2024-06

2. An explicit fourth-order accurate compact method for the Allen-Cahn equation;AIMS Mathematics;2024

3. Stability analysis of an explicit numerical scheme for the Allen-Cahn equation with high-order polynomial potentials;AIMS Mathematics;2024

4. Fractal feature analysis based on phase transitions of the Allen–Cahn and Cahn–Hilliard equations;Journal of Computational Science;2023-09

5. An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher–Kolmogorov–Petrovsky–Piscounov Equation;Journal of Mathematics;2023-07-25

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