The Milne problem using the PNmethod for a nonabsorbing medium withlinearly anisotropic scattering

Abstract

The Milne problem, known as one of the classical problems of radiative transfer and neutron transport theory,is solved using the PNmethod for a nonabsorbing medium (c = 1) with a linearly anisotropic scattering kernel. Specularand diffuse re ection boundary conditions are taken into account. The numerical results are listed for different selectedparameters. Some results are also compared with the literature