A three level linearized compact difference scheme for the Cahn-Hilliard equation

被引：0
|
作者：
LI Juan 1
2 Yingtian College
机构：
来源：
ScienceChina(Mathematics) | 2012年 / 55卷 / 04期
关键词：
Cahn-Hilliard equation; compact difference scheme; convergence; solvability; conservation; energy non-increase;
D O I：
暂无
中图分类号：
O175.7 [差分微分方程];
学科分类号：
070104 ;
摘要：
This article is devoted to the study of high order accuracy difference methods for the Cahn-Hilliard equation.A three level linearized compact difference scheme is derived.The unique solvability and unconditional convergence of the difference solution are proved.The convergence order is O(τ 2 + h 4 ) in the maximum norm.The mass conservation and the non-increase of the total energy are also verified.Some numerical examples are given to demonstrate the theoretical results.
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页码：800 / 821
页数：22
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