A coarse mesh nodal method for one-dimensional spatial kinetics calculations

A nodal method for solving the one-dimensional time-dependent multigroup diffusion equation is presented. The kinetics equations are reduced to a system of first order differential equations and solution of the differential equations provides the coefficients of the flux and precursor density expansions for the given time steps. The nodal method used in reducing the kinetics equations is based upon the least squares minimization. The method is tested to determine the flux for some benchmark problems