Direct solutions of time-dependent neutron slowing down problems using numerical laplace transforms—I. Infinite media

Abstract

A direct numerical inversion of the Laplace transform of the time-variable is used to produce the time-dependence of an infinite medium neutron field. Comparisons with exact solutions show that excellent agreement can be obtained by suitable scaling of the time variable. The examples chosen are slowing down in natural iron and slowing down and up-scattering in light water.