Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions

DOI10.1186/s13662-017-1154-xzbMath1422.65284OpenAlexW2599857828WikidataQ59526245 ScholiaQ59526245MaRDI QIDQ1628656

Bo Liu, Fengnan Liu, Xiaopeng Zhao

Publication date: 4 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1154-x

zbMATH Keywords

stabilityconvergenceerror estimateextended Fisher-Kolmogorov equationFourier pseudo-spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Developmental biology, pattern formation (92C15) 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)

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Cites Work

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• Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions
• Fourier Spectral Methods for Pseudoparabolic Equations
• Stability of the Fourier Method

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