| 三维空间中Euler方程的有限差分方法 |
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| 引用本文： | 郑治波,赵文燕.三维空间中Euler方程的有限差分方法[J].保山学院学报,2013(5):13-16. |
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| 作者姓名： | 郑治波 赵文燕 |
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| 作者单位： | 保山学院数学学院,云南保山678000 |
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| 基金项目： | 保山学院科学基金项目资助（项目编号：13BY033）. |
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| 摘 要： | 研究三维Euler方程具有非常重要的意义,但是我们很难求得此方程的精确解,目前就理论上做了少量工作,构造了部分精确解,主要构造Euler方程的数值解为现实生活提供一些信息;因此,将从数值解入手,研究三维Euler方程向后差分格式和Lax-Friedrichs格式的解及精确解,利用MATLAB程序做差分解和误差的图像,同时讨论他们的解的优缺点.
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| 关 键 词： | 向后差分格式 Lax-Friedrichs格式 精确解 误差 |
FDM of Euler Equation in Three Dimensional Spaces |
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| Zheng Zhibo,Zhao Wenyan.FDM of Euler Equation in Three Dimensional Spaces[J].Journal of Baoshan Teachers College,2013(5):13-16. |
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| Authors: | Zheng Zhibo Zhao Wenyan |
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| Institution: | (School of Mathematics, Baoshan University, Baoshan, Yunnan 678000) |
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| Abstract: | It is of great significance to study three dimensional Euler equation, yet it is difficult to get the precise value of this equation. At present, few work has been done in studying the equation. This research studies the precise value of the after difference format and Lax-Friedrichs format of this equation from the perspective of arithmetic solution and by apply-ing the MATLAB software. |
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| Keywords: | after difference format Lax-Friedrichs format precise value deviation |
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