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arXiv · 2206.07325

Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions

Xiangjun Meng·Xuelian Bao·Zhengru Zhang
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Abstract

We study the numerical algorithm and error analysis for the Cahn-Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy stable scheme is proposed, which is an extension of the first-order stabilized approach. The corresponding energy stability and convergence analysis of the scheme are derived theoretically. Some numerical experiments are performed to verify the effectiveness and accuracy of the second-order numerical scheme, including numerical simulations under various initial conditions and energy potential functions, and comparisons with the literature works.

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Xiangjun Meng, Xuelian Bao, Zhengru Zhang. 2022-06-15. Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions. https://arxiv.org/abs/2206.07325

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