Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation

被引：9
作者：
Ayub, Sana [1 ]
Affan, Hira [2 ]
Shah, Abdullah [1 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Pk Rd, Islamabad 45550, Pakistan
[2] COMSATS Univ Islamabad, Dept Phys, Pk Rd, Islamabad 45550, Pakistan
来源：
AIP ADVANCES | 2019年 / 9卷 / 12期
关键词：
FOURIER-SPECTRAL METHOD; GENERALIZED MOTION; PHASE-TRANSITIONS; MEAN-CURVATURE; SIMULATIONS;
D O I：
10.1063/1.5126651
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this paper, we have analyzed the first- and second-order operator splitting schemes for the numerical solution of the Allen-Cahn equation. Different possibilities are considered for the derivation of the schemes. The numerical errors are computed in order to verify the effectiveness of each scheme. Validation of the schemes is provided by numerically solving some well-known examples. (C) 2019 Author(s).
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收藏
页数：9
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