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2003, 2003(Special): 365-374. doi: 10.3934/proc.2003.2003.365

Modified Chebyshev rational spectral method for the whole line

Guo Ben-Yu 1, and  Wang Zhong-Qing 2,

1. 

Department of Mathematics, Shanghai Normal University, Shanghai, China
2. 

Institute of Applied Physics and Computational Mathematics, Bejing, China

Received  August 2002 Revised  February 2003 Published  April 2003

A modified Chebyshev rational orthogonal system on the whole line is introduced. A rational spectral scheme for the Korteweg de Vries equation on the whole line is constructed. The convergence is proved. The numerical results show its efficiency.
Keywords: the whole line, Korteweg de Vries equation., Modified Chebyshev rational approximation.
Mathematics Subject Classification: 65N35, 41A20, 41A25, 76B2.
Citation: Guo Ben-Yu, Wang Zhong-Qing. Modified Chebyshev rational spectral method for the whole line. Conference Publications, 2003, 2003 (Special) : 365-374. doi: 10.3934/proc.2003.2003.365
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