Solutions of Reactor Point Kinetics equations with six group of delayed neutrons using Collocation method

In this study we have used Collocation Method (COM) as a new method in the control and dynamics of reactor fields for solution of reactor point kinetics equations in the presence of step, linear and sinusoidal reactivities with six groups delayed neutron. The calculation code has written by MATHEMATICA software. This method in addition to the low time of calculations and convergence of solutions, it has high accuracy. The results of numerical calculations by COM compared with other numerical methods show that this method is efficient and accurate. Therefore, it can be used for dynamical computing at the startup stage of the reactor.