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一个常微分方程数值积分格式及其应用

孟庆昌   

  1. 北京航天自动化控制研究所
  • 出版日期:1992-02-20 发布日期:1992-02-20

孟庆昌. 一个常微分方程数值积分格式及其应用[J]. 数值计算与计算机应用, 1992, 13(2): 86-91.

A SCHEME FOR NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

  1. Meng Qing-chang Beijing Aerospace Automatic Control Institute
  • Online:1992-02-20 Published:1992-02-20
上述方程是一个开环系统,加上控制方程形成闭环系统.控制方程是小参数方程,但它的系数是常系数.对于控制方程,我们采用隐式欧拉法进行求解.隐式欧拉法的计算公式如下:
In this paper, a scheme for numerical integration of ordinary differential equations is pre-sented. The conclusions are drawn about its applicability for a practical problem. In addition,the accuracy and stability of this scheme are shown. A numerical example presented here hasproved ite effectiveness.
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