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Description

This work is the study of Reactor Point Kinetic equations. This is a system of seven coupled ordinary differential equations, one for neutron density and six for delayed neutron precursors. The application of Runge-Kutta methods is used to study the system numerically. Solutions were then compared for different values of reactivity using MATLAB built-in functions ode23 and ode45. There are graphs and tables presented to compare these methods; theoretically ode45 is of higher-order than ode23.

Publication Date

4-18-2018

Project Designation

Capstone Project

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium poster

Comments

Presenter: Elizabeth N Boeke

Runge-Kutta Methods to Explore Numerical Solutions of Reactor Point Kinetic Equations

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