Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation

Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation

This paper proposes a numerical scheme for the Allen-Cahn equation that represents a phenomenological model for anti-phase domain coarsening in a binary mixture. In order to obtain a high order discretization in space, we adopt the barycentric interpolation collocation method. The semi-discretized s...

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Bibliographic Details
Main Authors: Yangfang Deng, Zhifeng Weng
Format: Article
Language:English
Published: AIMS Press 2021-02-01
Series:AIMS Mathematics
Subjects:
allen-cahn equation
barycentric interpolation collocation method
consistency analysis
crank-nicolson scheme
energy decline
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021229?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021229?viewType=HTML

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