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

Sana Ayub; Hira Affan; Abdullah Shah

doi:10.1063/1.5126651

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

Sana Ayub, Hira Affan, Abdullah Shah^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Article number	125202
Journal	AIP Advances
Volume	9
Issue number	12
DOIs	https://doi.org/10.1063/1.5126651
State	Published - 1 Dec 2019
Externally published	Yes

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Publisher Copyright:
© 2019 Author(s).

ASJC Scopus subject areas

General Physics and Astronomy

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abstract = "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.",

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N2 - 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.

AB - 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.

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ER -

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

Abstract

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