• 论文 •

### 控制系统计算中的一类常微分方程的变形

• 出版日期:1981-03-20 发布日期:1981-03-20

### A CLASS OF DEFORMATION OF ORDINARY DIFFERENTIAL EQUATIONS IN CALCULATION OF CONTROL SYSTEMS

1. Liu De-gui
• Online:1981-03-20 Published:1981-03-20

In order to avoid the calculating derivation, an efficient way in numerical in-tegration of ordinary differential equations was proposed by Yuan Zhao-ding. Inthis paper, another new method of substitution is presented. This method either cancompletely avoid the calculating derivation on the right or can decrease to calculatingm--n order of derivation in numerical integration of ordinary differential equation.The calculation of initial values for solving systems of the equivalent equation ismuch simpler than that by the method of transform in[1]. In this paper, the method of substitution is derived and shows that this methodis also applicable when a variable of enter is a δ function.
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 [1] 袁兆鼎,常微分方程数值积分中避免导数计算的一个注记,应用数学与计算数学,第2卷第3期,1965年8月,196-204． [2] 费景高,刘德贵,Stiff常微分方程初值问题的数值解法,计算机应用与应用数学,1978,1-2．
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