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Finite difference coefficient : ウィキペディア英語版
Finite difference coefficient
In mathematics, to approximate a derivative to an arbitrary order of accuracy, it is possible to use the finite difference. A finite difference can be central, forward or backward.
==Central finite difference==

This table contains the coefficients of the central differences, for several orders of accuracy:〔.〕

For example, the third derivative with a second-order accuracy is
: \displaystyle f(x_) \approx \displaystyle \fracf(x_) + f(x_) -f(x_) +\fracf(x_)} + O\left(h_x^2 \right)
where h_x represents a uniform grid spacing between each finite difference interval.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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