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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

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.
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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