THERMAL SCIENCE

International Scientific Journal

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Jun Zhou

,

Xiaomin Dai

AN ENERGY-STABLE PSEUDOSPECTRAL SCHEME FOR SWIFT-HOHENBERG EQUATION WITH ITS LYAPUNOV FUNCTIONAL

ABSTRACT
We analyze a first order in time Fourier pseudospectral scheme for Swift-Hohenberg equation. One major challenge for the higher order diffusion non-linear systems is how to ensure the unconditional energy stability and we propose an efficient scheme for the equation based on the convex splitting of the energy. The¬oretically, the energy stability of the scheme is proved. Moreover, following the derived aliasing error estimate, the convergence analysis in the discrete l2-norm for the proposed scheme is given.
KEYWORDS
Swift-Hohenberg equation, convex splitting, energy stability, Fourier pseudospectral method
PAPER SUBMITTED: 2018-06-12
PAPER REVISED: 2018-09-20
PAPER ACCEPTED: 2018-11-25
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180612249Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S975 - S982]
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An energy-stable pseudospectral scheme for Swift-Hohenberg equation with its Lyapunov functional

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence