Abstract
Numerical scheme of the generalized finite spectral method is extended to finite spectral method. The method is also of high order accuracy. The established numerical method is validated by applications to the Burgers equation (nonlinear convection-diffusion problem) and KdV equation (single solitary and 2-solitary wave problems), where analytical solutions are available for comparison. Numerical results show that using suitable value of the local parameter, l, the proposed method can be applied to simulate wave propagation problems with even higher accuracy than that of the generalized finite spectral method.
Original language | English |
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Pages (from-to) | 42-45 |
Number of pages | 4 |
Journal | Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni |
Volume | 47 |
Issue number | SUPPL. 2 |
Publication status | Published - 1 Nov 2008 |
Keywords
- Finite spectral method
- Linear wave
- Nonlinear wave
ASJC Scopus subject areas
- General