| 海水中物体下落速度的新算法 |
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| 引用本文： | 王宪杰.海水中物体下落速度的新算法[J].烟台大学学报(自然科学与工程版),2007,20(4):244-247. |
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| 作者姓名： | 王宪杰 |
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| 作者单位： | 烟台大学,数学与信息科学学院,山东,烟台,264005 |
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| 摘 要： | 根据牛顿第二定律,建立装满某种物质的封闭圆桶在海水中下落速度的微分方程.由于该方程不能求出显式解,因此传统的方法是:由不考虑阻力时圆桶下沉的速度微分方程的解推断圆桶到达海底的速度.根据严格的理论推导,计算出圆桶到达海底的近似速度,通过计算机对方程解的仿真计算,验证了文中的算法已经达到了很高计算精度要求.
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| 关 键 词： | 微分方程 隐式解 近似算法 仿真 |
| 文章编号： | 1004-8820（2007）04-0244-04 |
| 收稿时间： | 2006-12-20 |
| 修稿时间： | 2006年12月20 |
New Algorithm of Objects Falling Speed in Seawater |
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| WANG Xian-Jie.New Algorithm of Objects Falling Speed in Seawater[J].Journal of Yantai University(Natural Science and Engineering edirion),2007,20(4):244-247. |
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| Authors: | WANG Xian-Jie |
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| Institution: | School of Mathematics and Informational Science, Yantai University, Yantai 264005, China |
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| Abstract: | According to Newton's second law,the differential equation of falling speed of enclosed barrel filled by some substance is established in seawater.Because the explicit solution of this differential equation isn't determined,the traditional approach is by means of the solution of the barrel's falling speed differential equation without resistance,to conclude the speed of the barrel arriving to the floor of the ocean.According to theoretical derivation strictly,in this paper,the speed of the barrel arriving to the floor of the ocean is calculated,and analog simulation of differential equation solution by computer is performed,the calculation accuracy has reached the higher extent. |
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| Keywords: | differential equation implicit solution approximate algorithm simulation |
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