Pade approximants for linear Boltzmann equation. II. Application to spherical geometry

Abstract

For pt.I see ibid., vol.12, p.1633 (1979). The iteration technique is used to find the relation between the linear functional and Pade approximants. Three problems in radiative transfer and reactor physics involving spherical geometry are solved as examples of application: luminosity or the total energy emitted by a sphere; neutron capture probability; the albedo problem. Numerical calculations are done and compared with the exact values found in the literature, for luminosity and the albedo. For the capture probability no exact values are available for c not=0. Therefore the author calculates the exact values by the Sobolev method (1972). The Pade approximants give very good results in comparison with the exact values.