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

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

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Status	已发表Published
Title	Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method
Creator	Li, Jian 1; Ma, Heping 2,4; Sun, Weiwei3
Date Issued	2000
Source Publication	Numerical Methods for Partial Differential Equations
ISSN	0749-159X
Volume	16 Issue:6 Pages:513-534
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).
Keyword	Korteweg-de Vries equation Legendre pseudo-spectral method
DOI	10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-%23
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000089911100002
Citation statistics	Cited Times:19[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3308
Collection	Research outside affiliated institution
Corresponding Author	Ma, Heping
Affiliation	1.LSEC, Inst. Compl. Math. Sci./Eng. Comp., Chinese Academy of Sciences, Beijing 100080, China 2.Department of Mathematics, Shanghai University, Shanghai 200436, China 3.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 4.Dept. of Mathematics, Shanghai Univ., Shanghai 200436, China
Recommended Citation GB/T 7714	Li, Jian,Ma, Heping,Sun, Weiwei. Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method[J]. Numerical Methods for Partial Differential Equations, 2000, 16(6): 513-534.
APA	Li, Jian, Ma, Heping, & Sun, Weiwei. (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.
MLA	Li, Jian,et al."Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method". Numerical Methods for Partial Differential Equations 16.6(2000): 513-534.

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