Fourier spectral method for the modified Swift-Hohenberg equation

DOI10.1186/1687-1847-2013-156zbMath1444.65059OpenAlexW2166886831WikidataQ59301322 ScholiaQ59301322MaRDI QIDQ1648773

Peng Zhang, Fengnan Liu, Xiaopeng Zhao, Bo Liu, Wen-Yu Zhang

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-156

zbMATH Keywords

fully discrete schemesemi-discrete schemeoptimal error boundmodified Swift-Hohenberg equationFourier spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation ⋮ A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations ⋮ Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation ⋮ Bifurcation and final patterns of a modified Swift-Hohenberg equation

Cites Work

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• The Fourier spectral method for the Cahn-Hilliard equation
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• Large time behaviour of solutions of the Swift-Hohenberg equation
• Global attractor for a modified Swift-Hohenberg equation
• Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Propagation of hexagonal patterns near onset

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