Chebyshev generalized finite spectral method for linear and nonlinear waves

Jie Min Zhan; Dong Lin; Yok Sheung Li

Chebyshev generalized finite spectral method for linear and nonlinear waves

Jie Min Zhan, Dong Lin, Yok Sheung Li

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.

Original language	Chinese (Simplified)
Pages (from-to)	3649-3654
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	56
Issue number	7
Publication status	Published - 1 Jul 2007

Keywords

Chebyshev generalized finite spectrum
Linear wave
Nonlinear wave

ASJC Scopus subject areas

General Physics and Astronomy

Cite this

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title = "Chebyshev generalized finite spectral method for linear and nonlinear waves",

abstract = "A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.",

keywords = "Chebyshev generalized finite spectrum, Linear wave, Nonlinear wave",

author = "Zhan, {Jie Min} and Dong Lin and Li, {Yok Sheung}",

year = "2007",

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language = "Chinese (Simplified)",

volume = "56",

pages = "3649--3654",

journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Chebyshev generalized finite spectral method for linear and nonlinear waves

AU - Zhan, Jie Min

AU - Lin, Dong

AU - Li, Yok Sheung

PY - 2007/7/1

Y1 - 2007/7/1

N2 - A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.

AB - A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.

KW - Chebyshev generalized finite spectrum

KW - Linear wave

KW - Nonlinear wave

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M3 - Journal article

SN - 1000-3290

VL - 56

SP - 3649

EP - 3654

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 7

ER -

Chebyshev generalized finite spectral method for linear and nonlinear waves

Abstract

Keywords

ASJC Scopus subject areas

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