| 求解二点边值问题打靶法的一种改进方法 |
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| 引用本文： | 赵秋玲,戈新生.求解二点边值问题打靶法的一种改进方法[J].上海力学,1999,20(4):453-458. |
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| 作者姓名： | 赵秋玲 戈新生 |
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| 作者单位： | 北京机械工业学院基础部 100085
(赵秋玲)，北京机械工业学院基础部 100085(戈新生) |
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| 摘 要： | 本文讨论两点边值问题的数值解法，利用最小二乘法修正打靶法所需初始参数，将边值问题转化为相应的初值问题与左梯度控制方程合并，引入精细积分法进行求解。通过数值算例表明，该方法是一种求解两点边值问题的有效方法。
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| 关 键 词： | 打靶法 最小二乘法 二点边值问题 常微分方程 |
AN IMPROVED "SHOOTING" METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEM |
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| Zhao Qiuling Ge Xinsheng.AN IMPROVED "SHOOTING" METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEM[J].Chinese Quarterly Mechanics,1999,20(4):453-458. |
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| Authors: | Zhao Qiuling Ge Xinsheng |
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| Abstract: | This paper studies numerical method for solving two Point boundary value problem. The Least-Squares method is used to modify the initial parameter needed in "Shooting". After the boundary value problem be translated into initial one and get together with the equations which control the error gradient, the Precise Time Integration method is introduced to solve them. Numerical examples here show the effect of the present method. |
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| Keywords: | shooting least-squares method precise time integration method |
| 本文献已被 CNKI 维普 等数据库收录！ |
