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Numerov's method : ウィキペディア英語版
Numerov's method
Numerov's method is a numerical method to solve ordinary differential equations of second order in which the first-order term does not appear. It is a fourth-order linear multistep method. The method is implicit, but can be made explicit if the differential equation is linear.
Numerov's method was developed by the Russian astronomer Boris Vasil'evich Numerov.
==The method==
The Numerov method can be used to solve differential equations of the form:
: \frac = - g(x) y(x) + s(x)
Three equidistant values of : y_, y_n, y_ are related as follows:
: y_ \left(1 + \frac g_ \right) = 2 y_n \left(1 - \frac g_n \right) - y_ \left(1 + \frac g_ \right) + \frac (s_ + 10 s_n + s_) + O(h^6)
where y_n = a(x_n) , g_n = g(x_n) , s_n = s(x_n) and h= x_ - x_n .

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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