A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations

Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0377-0427(01)00543-X

Title:	A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations
Authors:	Feng, B.-F. Wei, G.W.
Keywords:	Discrete singular convolution Fourier error analysis Fourier pseudospectral method KdV equation
Issue Date:	1-Aug-2002
Citation:	Feng, B.-F., Wei, G.W. (2002-08-01). A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations. Journal of Computational and Applied Mathematics 145 (1) : 183-188. ScholarBank@NUS Repository. https://doi.org/10.1016/S0377-0427(01)00543-X
Abstract:	The discrete singular convolution (DSC) algorithm is applied to the Korteweg-de Vries (KdV) and modified KdV (mKdV) equations with a particular emphasis on a comparison with the Fourier pseudospectral (FPS) method. The errors of the DSC algorithm with respect to the numerical resolution are investigated by using the discrete Fourier analysis. The numerical results indicate that the DSC method can be more accurate than the FPS method for many nonlinear wave problems that are non-bandlimited in nature. © 2001 Elsevier Science B.V. All rights reserved.
Source Title:	Journal of Computational and Applied Mathematics
URI:	http://scholarbank.nus.edu.sg/handle/10635/104708
ISSN:	03770427
DOI:	10.1016/S0377-0427(01)00543-X
Appears in Collections:	Staff Publications

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