A method based on a stochastic approach for space dependent nuclear reactor kinetics in one dimension (Q1115551)

We present a method to solve analytically and numerically parabolic systems of partial differential equations appearing in the reactor physics studies of space-time neutron kinetics in multigroup diffusion theory. We use mainly stochastic differential equations associated to the equations: \(\partial f/\partial t=\nabla [D\nabla_ 0].\) Moreover, we define the evolution operators corresponding to the different physical phenomena arising on neutron diffusion. By a process that we call ``mixing'', we construct the general solution considering simultaneously all the physical phenomena. We present a computer code ``MIXAGE'' for one spatial dimension and two energy groups and we present some test problem solved using this code and compare the results with those obtained by other methods.