ABSTRACT

This chapter provides a brief description of the analytical and numerical methods to obtain the solution for neutron point kinetic models in the nuclear dynamical system. The basic ideas of linear and nonlinear analytical methods have been introduced to solve the kinetic equation in the field of nuclear reactor dynamics using the homotopy analysis method (HAM), variational iteration method (VIM), and Adomian decomposition method (ADM). Numerical techniques like the differential transform method (DTM), multistep differential transform method (MDTM), and explicit finite difference method (EFDM) have also been applied to obtain the numerical approximate solution for the neutron point kinetic equation in the nuclear reactor dynamical system.