A Numerical Approach to Solve Point Kinetic Equations Using Taylor-Lie Series and the Adomian Decomposition Method

摘要

The point kinetic equations in nuclear dynamics, various analytical methods have been used. In this paper, a numerical approach of point kinetic equations using an inherently large sampling interval and multiple inputs is developed and analyzed. To implement this method, Taylor-Lie Series under the Zero Order Hold (ZOH) is used to approximate the neutron density and precursor concentrations at each corresponding time step. Afterwards, an additional technique, the Adomian Decomposition Method, is used based on its merit of algorithmic and computational advantages in carrying out the discretization.