The Fourier spectral method for the Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: The Fourier spectral method for the Cahn-Hilliard equation
zbMATH Open document ID: 1093.65099
author: Xingde Ye
author: XiaoLiang Cheng
published in: Applied Mathematics and Computation
publication date: 2006-02-07T00:00:00Z
review text: This paper is concerned with a Fourier spectral method for the numerical solution of the 1D Cahn-Hilliard equation with periodic boundary condition. The authors propose a semi-discrete and a fully discrete schemes that preserve the energy dissipation and mass conservation from the corresponding continuous problem. Moreover, existence and uniqueness of numerical solutions are proved and optimal error bounds are obtained. Numerical tests are presented which demonstrate the schemes.
reviewed by: Song Jiang
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35K35
zbMATH DE Number: 5004360
zbMATH Keywords: 1D Cahn-Hilliard equation
zbMATH Keywords: semi-discrete and full-discrete schemes
zbMATH Keywords: optimal error bounds
zbMATH Keywords: numerical examples
zbMATH Keywords: Fourier spectral method
MaRDI profile type: Publication
full work available at URL: j.amc.2005.01.050
OpenAlex ID: W2155736563
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DOI: 10.1016/J.AMC.2005.01.050
description: scientific article; zbMATH DE number 5004360