An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

We introduced a fully explicit finite difference method (FDM) designed for numerically solving the conservative Allen–Cahn equation (CAC) on a cubic surface. In this context, the cubic surface refers to the combined areas of the six square faces that enclose the volume of a cube. The proposed numeri...

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Bibliographic Details
Main Authors: Youngjin Hwang, Jyoti, Soobin Kwak, Hyundong Kim, Junseok Kim
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
finite difference scheme
cubic domain
lagrange multiplier
explicit scheme
conservative ac equation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241641
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https://www.aimspress.com/article/doi/10.3934/math.20241641

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