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Chebyshev generalized finite spectral method for linear and nonlinear waves

Zhan Jie-Min Lin Dong Li Yok-Sheng

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Chebyshev generalized finite spectral method for linear and nonlinear waves

Zhan Jie-Min, Lin Dong, Li Yok-Sheng
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  • 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.
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  • Abstract views:  6783
  • PDF Downloads:  2071
  • Cited By: 0
Publishing process
  • Received Date:  15 September 2006
  • Accepted Date:  19 December 2006
  • Published Online:  20 July 2007

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