A Chebyshev spectral method for solving Korteweg-de Vries equation with hydrodynamical application

DOI10.1016/S0960-0779(00)00131-4zbMath1017.65080OpenAlexW2065137877MaRDI QIDQ1862300

Helal, Mohamed Atef

Publication date: 19 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00131-4

zbMATH Keywords

comparison of methodsnumerical resultsKorteweg-de Vries equationChebyshev spectral methodshallow watersemi-analytical solutionrotating fluidsHopscotch method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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