An energy-stable pseudospectral scheme for Swift-Hohenberg equation with its Lyapunov functional

An energy-stable pseudospectral scheme for Swift-Hohenberg equation with its Lyapunov functional

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...

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Bibliographic Details
Main Authors: Zhou Jun, Dai Xiaomin
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2019-01-01
Series:Thermal Science
Subjects:
swift-hohenberg equation
convex splitting
energy stability
fourier pseudospectral method
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900249Z.pdf
Description
Summary: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.
ISSN:0354-9836

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