Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations

DOI10.1016/j.apnum.2008.03.042zbMath1167.65051OpenAlexW2069824011MaRDI QIDQ1012246

He-Ping Ma, Zhen-Guo Deng

Publication date: 15 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.042

zbMATH Keywords

error estimatesFourier spectral methodnonlocal, nonlinear dispersive wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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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• Stability of the Fourier Method
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• Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
• Internal waves of permanent form in fluids of great depth
• Equivalent Norms for Sobolev Spaces
• Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations

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