Stability and Convergence Analysis of Unconditionally Energy Stable and Second Order Method for Cahn-Hilliard Equation

被引：0

作者：

Yu ZHANG ^{[1
]}

Chenhui ZHANG ^{[2
]}

Tingfu YAO ^{[3
]}

Jun ZHANG ^{[4
]}

机构：

[1] School of Mathematics and Statistics, Guizhou University of Finance and Economics

[2] College of Mathematics, Taiyuan University of Technology

[3] College of Science, Guiyang University 4. Computational Mathematics Research Center, Guizhou University of Finance and Economics

来源：

Journal of Mathematical Research with Applications | 2023年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this work, we construct an efficient invariant energy quadratization(IEQ) method of unconditional energy stability to solve the Cahn-Hilliard equation. The constructed numerical scheme is linear, second-order accuracy in time and unconditional energy stability. We carefully analyze the unique solvability, stability and error estimate of the numerical scheme. The results show that the constructed scheme satisfies unique solvability, unconditional energy stability and the second-order convergence in time direction. Through a large number of 2D and 3D numerical experiments, we further verify the convergence order, unconditional energy stability and effectiveness of the scheme.

引用

页码：691 / 709

页数：19

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