针对有外加中子源单组点堆中子动力学方程组的快速求解问题,提出了常数变易法和同伦分析方法,通过理论推导获得了单组点堆中子动力学方程组解析解,然后对3种不同刚性情况下的阶跃反应性引入的例子进行了求解和数值分析,验证了所得解析解的正确性。
The variation constant method and homotopy analysis method were proposed to provide quick solutions to the stiff and nonlinear point-reactor neutron kinetics equations with one delayed precursor group and external neutron source.Through 3 examples,the analytical solutions were proved to be correct.