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

Authors
Choo, SM Chung, SK Kim, KI
Citation
Sm. Choo et al., Conservative nonlinear difference scheme for the Cahn-Hilliard equation - II, COMPUT MATH, 39(1-2), 2000, pp. 229-243
Citations number
11
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
39
Issue
1-2
Year of publication
2000
Pages
229 - 243
Database
ISI
SICI code
0898-1221(200001)39:1-2<229:CNDSFT>2.0.ZU;2-9
Abstract
A nonlinear conservative difference scheme is considered for the two-dimens ional Cahn-Hilliard equation. Existence of the solution for the finite diff erence scheme has been shown and the corresponding stability, convergence, and error estimates are discussed. We also show that the scheme preserves t he discrete total mass computationally as well as analytically. (C) 1999 El sevier Science Ltd. Ail rights reserved.