| 求解具有终端约束两点边值问题的一种迭代法 |
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| 引用本文： | 孙越.求解具有终端约束两点边值问题的一种迭代法[J].天津理工大学学报,1993(Z1). |
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| 作者姓名： | 孙越 |
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| 作者单位： | 天津理工学院管理工程系 |
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| 摘 要： | 本文提出了一个用反向延拓法求解两点边值问题的一种迭代法。由系统的动态方程,导出了边界变量所满足的微分方程,而且又由终端约束导出了边界变量偏导数的表达式。有了边界变量偏导数的终端值以及它们适合的微分方程,就可以由终端反向积分这些微分方程求解出这些变量来。利用上述想法,构成了一种求解两点边值问题的迭代法。
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| 关 键 词： | 两点边值问题 终端约束 反向延拓法 |
An Iterative Method For Solving Two Point Boundary Valuation Problem with The Terminal Constraints |
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| Sun Yue.An Iterative Method For Solving Two Point Boundary Valuation Problem with The Terminal Constraints[J].Journal of Tianjin University of Technology,1993(Z1). |
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| Authors: | Sun Yue |
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| Abstract: | An iterative method for solving the two points boundary value problem by the back- ward extend method is presented. The differetial equations for boundary variate is derived from the system dynamic e- quations.The partial derivative for boundary variates is derived from terminal constraints. With the terminal value of the partial derivative for boundary variates and their differetial equation,the variates can be solved by backward derivation of the differetial equation. An iternative method for solving two points boundary value problem is formed as indi- cated above. |
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| Keywords: | two point boundary value problem terminal constraints backward extend method |
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