Efficient numerical solution of the point kinetics equation

Date

2003-12

Journal Title

Journal ISSN

Volume Title

Publisher

Texas Tech University

Abstract

A numerical procedure to efficiently calculate the solution to the point kinetics equation in nuclear reactor dynamics is described and investigated. Piecewise constant approximations of the reactivity and source functions are made. The resulting system of linear differential equations is solved exactly over each time step. The method is proved to converge with order h^2 where h is the time step. The procedure is tested using a variety of initial conditions, data, and reactivity functions. The computational results indicate that the method is efficient and accurate

Description

Keywords

Nuclear reactor kinetics -- Data processing, Nuclear reactor kinetics -- Mathematical models

Citation