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

被引：6
作者：
Meng, Xiangjun [1 ]
Bao, Xuelian [2 ,3 ]
Zhang, Zhengru [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R China
[3] Beijing Normal Univ, Adv Inst Nat Sci, Res Ctr Math, Zhuhai 519087, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 428卷
基金：
中国博士后科学基金;
关键词：
Cahn-Hilliard equation; Dynamic boundary conditions; Second order backward differentiation  formula; Energy stability; Convergence analysis; CONVEX SPLITTING SCHEMES; TIME-STEPPING METHODS; NUMERICAL APPROXIMATIONS; ALLEN-CAHN; EQUATION; ENERGY; CONVERGENCE; SYSTEM; FLOW; ALGORITHMS;
D O I：
10.1016/j.cam.2023.115145
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2023 Elsevier B.V. All rights reserved.
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页数：22
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