“finite difference”的概念、定义、翻译、参考文献-科学参考

finite difference

Chemical Engineering

A mathematical approximation method used for solving first- and second-order differential equations. It is based on determining the gradient from two adjacent points separated a finite distance apart. For example, the forward difference for a first order derivative is given by:
$\frac{d}{d x} f (x_{i}) = \frac{f (x_{i + 1}) - f (x_{i})}{Δ x}$

(p. 146) The approximation therefore requires the difference in value of the function separated by Δx. It is used for complex functions where an analytical solution may not be possible or too cumbersome.

单词	finite difference
释义	finite difference Chemical Engineering A mathematical approximation method used for solving first- and second-order differential equations. It is based on determining the gradient from two adjacent points separated a finite distance apart. For example, the forward difference for a first order derivative is given by: $\frac{d}{d x} f (x_{i}) = \frac{f (x_{i + 1}) - f (x_{i})}{Δ x}$ (p. 146) The approximation therefore requires the difference in value of the function separated by Δx. It is used for complex functions where an analytical solution may not be possible or too cumbersome.
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