| 三维空间中Navier-Stokes方程的有限差分方法 |
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| 引用本文： | 杨雪敏,郑治波,狄华斐.三维空间中Navier-Stokes方程的有限差分方法[J].渝西学院学报(自然科学版),2012(1):16-19. |
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| 作者姓名： | 杨雪敏 郑治波 狄华斐 |
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| 作者单位： | [1]云南师范大学数学学院,云南昆明650092 [2]云南民族大学数学学院,云南昆明650500 |
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| 摘 要： | 文章从数值解入手,研究三维Navier-Stokes方程的两种差分格式的解及精确解,利用MATLAB程序做差分解和误差的图像,同时讨论其解的优缺点.
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| 关 键 词： | 向前差分格式 向后差分格式 精确解 误差 |
The finite difference method of three-dimensional Navier-Stokes equation in R~3 |
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| Authors: | YANG Xue-min ZHENG Zhi-bo DI Hua-fei |
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| Institution: | 1.Department of Mathematics,Yunnan Normal University,Kunming Yunnan 650092,China; 2.Department of Mathematics,Yunnan National University,Kunming Yunnan 650500,China) |
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| Abstract: | Starting with the numerical solution,the exact solution and solution of the two difference schemes about three-dimensional Navier-Stokes equation were studied in the paper.The Matlab program was used to draw the graphics about the solution of difference and error,and their advantages and disadvantages were discussed. |
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| Keywords: | forword difference scheme backword difference scheme exact solution error |
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