点动态学方程几种解法的比较

本文系统介绍了点动态学方程的各种解法及其特点，并对其中影响较大的三种方法Ｇｅａｒ法、三阶Ｈｅｒｍｉｔｅ插值法以及ＰｐｑＭ法的截断误差和稳定性进行了讨论。最后，本文利用所编制的三种方法的程序对轻水堆和快堆的标准问题进行了校算，结果证明ＰｐｑＭ法可以有效地求解点动态学方程，它所用的计算时间短而且结果也更精确。

Comparison of different solutions for point kinetics equations

he various methods for point kinetics equations are introduced systematically inthis paper, with their different features presented. Then three of these methods, includingGear linear multi-step method, three-order Hermite polynomials method and P,, Mpolynomials approximations, which have great influences on other methods and have beenattached great attentions in other papers, are discussed on their truncation errors andstability characters. Finally, benchmark problems for both light water reactors and liquidmetal fast breeder reactors are calculated by programs of these three methods to check thecalculating efficiency of them. The Ppq M method is considered to solve point kineticsequations efficiently, which uses less CPU time, and its calculation results are moreaccurate.