A comparison of Fourier pseudospectral methods for the solution of the Korteweg-de Vries equation

DOI10.1016/0021-9991(89)90122-8zbMath0683.65103OpenAlexW2021048419WikidataQ57761917 ScholiaQ57761917MaRDI QIDQ1825013

F. Z. Nouri, David M. Sloan

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90122-8

zbMATH Keywords

Korteweg-de Vries equationsoliton solutionefficiency comparisonrecurrence phenomenonerror constraintPseudospectral methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items

Unconventional schemes for a class of ordinary differential equations - with applications to the Korteweg-de Vries equation, Collocation in space and time: Experience with the Korteweg-de Vries equation, Convergence of a Higher Order Scheme for the Korteweg--De Vries Equation, Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation, An easily implementable fourth-order method for the time integration of wave problems, On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations, Unnamed Item, FOURTH-ORDER NUMERICAL METHODS FOR THE COUPLED KORTEWEG–DE VRIES EQUATIONS, Fourier pseudospectral solution of the regularised long wave equation, A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations

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