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

Authors
Li, J Ma, HP Sun, WW
Citation
J. Li et al., Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method, NUMER M P D, 16(6), 2000, pp. 513-534
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
16
Issue
6
Year of publication
2000
Pages
513 - 534
Database
ISI
SICI code
0749-159X(200011)16:6<513:EAFSTK>2.0.ZU;2-E
Abstract
A Legendre pseudo-spectral method is proposed for the Korteweg-de Vries equ ation 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. (C) (2000) John Wiley & Sons, Inc.