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Title: Conjugate filter approach for solving Burgers' equation
Authors: Wei, G.W. 
Gu, Y.
Issue Date: 15-Dec-2002
Citation: Wei, G.W., Gu, Y. (2002-12-15). Conjugate filter approach for solving Burgers' equation. Journal of Computational and Applied Mathematics 149 (2) : 439-456. ScholarBank@NUS Repository.
Abstract: We propose a novel scheme for solving Burgers' equation with all possible values of Reynolds numbers. A low-pass filter is introduced to intelligently eliminate the high frequency errors produced by its conjugate high-pass filters. All conjugate filters are derived from one generating function and have essentially the same degree of regularity, smoothness, time-frequency localization, effective support and bandwidth. Computational accuracy is tested by using both a linear hyperbolic equation and Burgers' equation at a moderately high Reynolds number for which analytical solution is available. The ability of shock-capturing is validated by using discontinuous initial values. Excellent numerical results indicate that the proposed scheme is efficient, robust and reliable for solving Burgers' equation and for shock capturing. © 2002 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
ISSN: 03770427
DOI: 10.1016/S0377-0427(02)00488-0
Appears in Collections:Staff Publications

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