ABSTRACT A new approach to solve the inverse equation of point kinetics is presented. The neutron density history can be considered as a series of infinite Bernoulli numbers. In order to simplify the problem, the proposed method uses an approximation which considers only two derivatives of the neutron population density. The reactivity is calculated for different forms of neutron population density and for different time steps. Due to its high precision, the results obtained suggest that the proposed method can be used in a real-time digital reactivity meter.

中文翻译：

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伯努利数泛化法求解点动力学反方程的新方法

摘要 提出了一种求解点动力学反方程的新方法。中子密度历史可以被认为是一系列无限伯努利数。为了简化问题，所提出的方法使用了仅考虑中子布居密度的两个导数的近似值。反应性是针对不同形式的中子密度和不同时间步长计算的。由于其高精度，所获得的结果表明所提出的方法可用于实时数字反应计。