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Conservative nonlinear difference scheme for the Cahn-Hilliard equation

✍ Scribed by S.M. Choo; S.K. Chung

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 484 KB
Volume: 36
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00171-0

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✦ Synopsis

Numerical solutions for the Cahn-Hilliard equation is considered using the Crank-Nicolson type finite difference method. Existence of the solution for the difference scheme has been shown by Brouwer fixed-point theorem. Stability, convergence and error analysis of the scheme axe shown. We also show that the scheme preserves the discrete mass, even though the lineaxized scheme in [1] is conditionally stable and does not preserve the mass. (~) 1998 Elsevier Science Ltd. All rights reserved.

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