Exponential Function Method for Solving Point Reactor Neutron Kinetics Equations

An exponential function method for solving the point reactor neutron kinetics equations is presented. The reactor kinetics equations are reduced to a differential equation in matrix form, which is con- venient to express explicitly by using exponential functions as basis function. The coefficients of the series have been obtained according to initial conditions. The method is applied to the step reactivity insertion, ramp reactivity insertion and oscillatory reactivity insertion respectively,and the results show that the exponential function method is efficient and accurate to several significant figures.