Conservative nonlinear difference scheme for the Cahn-Hilliard equation - II

被引：39

作者：

Choo, SM ^{[1
]}

Chung, SK ^{[1
]}

Kim, KI ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Educ, Seoul 151742, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 39卷 / 1-2期

关键词：

Cahn-Hilliard equation; conservation of mass; nonlinear difference scheme;

D O I：

10.1016/S0898-1221(99)00326-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear conservative difference scheme is considered for the two-dimensional Cahn-Hilliard equation. Existence of the solution for the finite difference scheme has been shown and the corresponding stability, convergence, and error estimates are discussed. We also show that the scheme preserves the discrete total mass computationally as well as analytically. (C) 1999 Elsevier Science Ltd. Ail rights reserved.

引用

页码：229 / 243

页数：15

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