期刊论文

IMEX-BDF2 Method for Cahn-Hilliard Equation

中文

湖南理工学院学报(自然科学版)

1672-5298

2018

31

2

9-11+70

10.16740/j.cnki.cn43-1421/n.2018.02.003

11771060:国家自然科学基金 11371074:国家自然科学基金

本校为第一机构

Cahn-Hilliard方程作为一类重要的四阶扩散方程已成为偏微分方程研究领域一个倍受关注的问题.本文考虑带有Neumann边界的Cahn-Hilliard方程的隐显BDF2半离散格式和全离散格式,并证明了该格式是质量守恒的.

The Cahn-Hilliard equation, as an important class of fourth-order diffusion equations, has become a major concern in the field of partial differential equations. In this paper, the Cahn-Hilliard equation with Neumann boundary is considered to be discretized by implicit-explicit BDF2 method. It is proved that the scheme pres...