Abstract
Abstract The method of separation of variables and expansions in terms of Legendre polynomials is applied to the “third form” of the Boltzmann equation governing monoenergetic angular flux distribution in a heterogeneous slab with anisotropic scattering and in presence of sources. Finally, we get a system of integral equations and a related matrix analogue for angular and spatial moments of the flux distribution. In the case of finite multilayers and of plane lattices the formulation presented is a simple extension of the ones corresponding to isotropic and homogeneous cases. The multigroup treatment proceeds analogously starting from a system of coupled integral equations for the group angular fluxes. The matrix representation of the final integral system has matrix elements for which recurrence relations hold.
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