Modified Chebyshev rational spectral method for the whole line

Guo Ben-Yu; Wang Zhong-Qing

doi:10.3934/proc.2003.2003.365

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2003, Volume 2003: 365-374. Doi: 10.3934/proc.2003.2003.365 open access

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Modified Chebyshev rational spectral method for the whole line

Guo Ben-Yu^1, and
Wang Zhong-Qing²

1.
Department of Mathematics, Shanghai Normal University, Shanghai
2.
Institute of Applied Physics and Computational Mathematics, Bejing

Received: July 31, 2002

Revised: January 31, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

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:

Modified Chebyshev rational approximation,
the whole line,
Korteweg de Vries equation.

Mathematics Subject Classification: 65N35, 41A20, 41A25, 76B25.

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