A numerical solution of point kinetics equations using the Adomian Decomposition Method

Abstract

For solutions to point kinetic equations in nuclear dynamics, various analytical methods have been developed. Nevertheless, sometimes complex aspects of problems make it difficult to apply analytical methods to point kinetic equations. In addition, owing to the stiffness and need for small time steps of point kinetic equations, it is hard to obtain accurate results using analytical methods. As an alternative to these problems, the numerical methods can be used for solutions to point kinetics equations instead of analytical methods. In this work, a numerical solution of point kinetic equations using an inherently large sampling interval is proposed and analyzed. To implement this method, we make use of a useful technique called the Adomian Decomposition Method. Finally, in order to showcase the increased performance, the results of the proposed method are compared to exact values.