Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method

Jian Li; Heping Ma; Weiwei Sun

doi:10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23

Author(s)

Jian Li
Heping Ma
Weiwei Sun

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	513-534
Journal / Publication	Numerical Methods for Partial Differential Equations
Volume	16
Issue number	6
Online published	2 Oct 2000
Publication status	Published - Nov 2000

Link(s)

DOI	DOI https://doi.org/10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0043028813&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ad116ba7-a263-4639-bd9c-147489f44fdf).html

Abstract

A Legendre pseudo-spectral method is proposed for the Korteweg-de Vries equation with nonperiodic boundary conditions. Appropriate base functions are chosen to get an efficient algorithm. Error analysis is given for both semi-discrete and fully discrete schemes. The numerical results confirm to the theoretical analysis. © (2000) John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 513-534, (2000).

Research Area(s)

Korteweg-de Vries equation, Legendre pseudo-spectral method

Citation Format(s)

[ RIS ] [ BibTeX ]

Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. / Li, Jian; Ma, Heping; Sun, Weiwei.

In: Numerical Methods for Partial Differential Equations, Vol. 16, No. 6, 11.2000, p. 513-534.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Li, J, Ma, H & Sun, W 2000, 'Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method', Numerical Methods for Partial Differential Equations, vol. 16, no. 6, pp. 513-534. https://doi.org/10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23

Li, J., Ma, H., & Sun, W. (2000). Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Numerical Methods for Partial Differential Equations, 16(6), 513-534. https://doi.org/10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23

Li J, Ma H, Sun W. Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Numerical Methods for Partial Differential Equations. 2000 Nov;16(6):513-534. Epub 2000 Oct 2. doi: 10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23

Li, Jian ; Ma, Heping ; Sun, Weiwei. / Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. In: Numerical Methods for Partial Differential Equations. 2000 ; Vol. 16, No. 6. pp. 513-534.