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Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation

✍ Scribed by Yinnian He; Yunxian Liu

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
134 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

A spectral Galerkin method in the spatial discretization is analyzed to solve the Cahn‐Hilliard equation. Existence, uniqueness, and stabilities for both the exact solution and the approximate solution are given. Using the theory and technique of a priori estimate for the partial differential equation, we obtained the convergence of the spectral Galerkin method and the error estimate between the approximate solution u~N~(t) and the exact solution u(t). © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008

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