The analysis of an efficient numerical scheme for the Allen–Cahn equations using the Galerkin method-Reference-Cited by-同舟云学术

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The analysis of an efficient numerical scheme for the Allen–Cahn equations using the Galerkin method

Published:2022-02 Issue: Volume:105 Page:106061
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:

Chin Pius W.M.^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference31 articles.

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

2. A numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows;Feng;Numer Math,2003

3. Phase-field model for isothermal phase transitions in binary alloys;Wheeler;Phys Rev,1992

4. An unconditionally gradient stable numerical method for solving the Allen-Cahn equation;Choi;Physica A,2009

5. A semi-analytical fourier spectral method for the Allen-Cahn equation;Lee;Comput Math Appl,2014

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Theory and Computation of the Semi-Linear Reaction–Diffusion Equation with Dirichlet Boundaries;Computation;2024-07-11

2. Wave propagation and soliton solutions of the Allen–Cahn model;International Journal of Modern Physics B;2023-01-27

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