A regular integral equation formalism for solving the standard Boussinesq's equations for variable water depth

DOI10.1007/s10915-017-0605-6zbMath1484.35319OpenAlexW2768295165WikidataQ59481849 ScholiaQ59481849MaRDI QIDQ1651342

Y. Aharonov

Publication date: 12 July 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0605-6

zbMATH Keywords

successive approximationpseudo-water depth parameterregular integral equation formalismstandard Boussinesq's equations for variable water depth

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Other nonlinear integral equations (45G10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22)

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Numerical solution of a generalized Falkner–Skan flow of a FENE-P fluid ⋮ Pseudo-parameter iteration method (PIM): a semi-analytic solution procedure for nonlinear problems ⋮ New nonlinear theory for a piston-type wavemaker: the classical Boussinesq equations

Cites Work

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• New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation
• Nonlinear integral equations and systems of Hammerstein type
• A new dispersion-relation preserving method for integrating the classical Boussinesq equation
• Long waves on a beach

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