Partial-Range Analysis of the One-Speed Neutron Transport Equation with Anisotropic Scattering

The one-speed neutron transport equation with anisotropic scattering is investigated by the method of partial-range Legendre-polynomial analysis. It is found that appropriate conditions on the spatial moments can be specified by suitable integral operations of the partial-range polynomials. A numerical test suggests that such an analysis does possess potential merit for calculating some neutron transport parameters to a high degree of accuracy even in a low order approximation.