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Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation
Journal article   Open access  Peer reviewed

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

Sana Ayub, Hira Affan and Abdullah Shah
AIP advances, Vol.9(12), pp.125202-125202-9
01/12/2019
DOI: https://doi.org/10.1063/1.5126651

Abstract

Materials Science Materials Science, Multidisciplinary Nanoscience & Nanotechnology Physical Sciences Physics Physics, Applied Science & Technology Science & Technology - Other Topics Technology
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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https://doi.org/10.1063/1.5126651View
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