Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method-Reference-Cited by-同舟云学术

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Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method

Published:2014-10 Issue:10 Volume:185 Page:2449-2455
ISSN:0010-4655
Container-title:Computer Physics Communications
language:en
Short-container-title:Computer Physics Communications

Author:

Zhai Shuying,Feng Xinlong,He Yinnian

Funder

Distinguished Young Scholars Fund of Xinjiang Province

NSF of China

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Hardware and Architecture

Reference23 articles.

1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

2. Geometrical image segmentation by the Allen–Cahn equation

3. A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting

4. Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

5. Phase-field model for isothermal phase transitions in binary alloys

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1. A fourth-order finite difference method for the Allen–Cahn equation;Journal of Computational and Applied Mathematics;2025-01

2. Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation;Numerical Algorithms;2024-08-13

3. Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems;Journal of Scientific Computing;2024-06-18

4. A family of linearly weighted-$$\theta $$ compact ADI schemes for sine-Gordon equations in high dimensions;Numerical Algorithms;2024-04-04

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

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