Stability analysis for a fully discrete spectral scheme for Boussinesq systems

DOI10.1080/00036811.2017.1281405zbMath1466.65159OpenAlexW2582809707WikidataQ58244107 ScholiaQ58244107MaRDI QIDQ5856172

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Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1281405

zbMATH Keywords

stability analysisnumerical experimentsRunge-Kutta schemeBoussinesq systemFourier collocation spectral method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Euler equations (35Q31)

Related Items (5)

On some Boussinesq/full dispersion systems for internal waves: numerical solution and solitary waves ⋮ On the numerical approximation of Boussinesq/Boussinesq systems for internal waves ⋮ Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems ⋮ A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations ⋮ High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators

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Cites Work

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• Cnoidal wave solutions to Boussinesq systems
• Spectral Methods
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