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| THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL－DIFFERENCE METHOD FOR TWO－DIMENSIONAL VORTICITY EQUATION | |
| 引用本文： | XIONG YUE-SHAN. THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL－DIFFERENCE METHOD FOR TWO－DIMENSIONAL VORTICITY EQUATION[J]. 高校应用数学学报(英文版), 1994, 9(2): 153-167. DOI: 10.1007/BF02662069 |
| 作者姓名： | XIONG YUE-SHAN |
| 摘 要： | ＴＨＥ ＥＲＲＯＲＳ ＥＳＴＩＭＡＴＩＯＮ ＯＦ ＴＨＥ ＣＨＥＢＹＳＨＥＶ ＳＰＥＣＴＲＡＬ－ＤＩＦＦＥＲＥＮＣＥ ＭＥＴＨＯＤ ＦＯＲ ＴＷＯ－ＤＩＭＥＮＳＩＯＮＡＬ ＶＯＲＴＩＣＩＴＹ ＥＱＵＡＴＩＯＮＴＨＥＥＲＲＯＲＳＥＳＴＩＭＡＴＩＯＮＯＦ... |
| 关 键 词： | THEERRORSESTIMATIONOFTHECHEBYSHEVSPECTRAL－DIFFERENCEMETHODFORTWO－DIMENSIONALVORTICITYEQUATIONandop（xl，xost）arethevorticityandstreamfunctionsrespectively，andv＞0istheviscouscoefficient．Classicaldifferencemethodandfiniteelementmethodmaybeusedtosolve |
| 收稿时间： | 1993-07-09 |
THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL-DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORTICITY EQUATION |
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| XIONG YUE-SHAN. THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL-DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORTICITY EQUATION[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 9(2): 153-167. DOI: 10.1007/BF02662069 | |
| Authors: | XIONG YUE-SHAN |
| Affiliation: | XIONG YUE-SHAN |
| Abstract: | We construct a Chebyshev spectral-difference scheme for solving two-dimen -sional vorticity equation with semi-homogeneous boundary conditions. We vigorously analyse the errors produced by initial errors and boundary value errors. The energy method is the main method used for errors estimation in this paper. |
| Keywords: | Two-dimensional vorticity equation Chebyshev spectral-difference scheme error estimation. |
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