Maximum principle preserving the unconditionally stable method for the Allen–Cahn equation with a high-order potential

We have presented a maximum principle preserving the unconditionally stable scheme for the Allen–Cahn (AC) equation with a high-order polynomial potential. The proposed method ensures the preservation of the maximum principle, a critical characteristic for accurately modeling phase transitions and m...

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Bibliographic Details
Main Author: Junseok Kim
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2025021
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