数值导数的平引切线求解法及其应用The Numerical Derivative Evaluation by the Way of Parallel Tangent
万金志;
Wan Jinzhi
摘要(Abstract)：
<正> 求数值导数是化学工作中往往要遇到的一个问题,如导数求值滴定法和化学动力学中均存在着求数值导数的问题,并且在这些问题中均要求既准确而又简便地从实验数据中求出需要的数值导数,为此我们提出了一种求数值导数的方法,现将该法的原理,计算方法及应用于导数求值滴定法中的情况介绍于下。
It has been proved by simple mathematic way that when the relationshipe between variables X cne Y can be described with quadratic function in rang (Xi-1, Xi), the formulas: dy/(dξi)=(Yi-Yi-1)/(Xi-Xi-1), ξi=(Xi_(-1)+(Xi)/2 are used to calculate their numerical derivative. The paper not only makes the demonstration for the method of calculating numerical derivative in Two Point Titration Method but also provides a convenient accurate calculation method of numerical derivative.
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作者(Author):
万金志;
Wan Jinzhi
Email:
DOI: 10.19367/j.cnki.1000-2707.1985.01.009
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