Polynomial Solutions to the Tensorial Differential Equations for Monoenergetic Neutrons in Slab and Sphere Geometries

The singular differential equations of arbitrary order, derived in a tensorial approximation to the integral transport for monoenergetic neutrons in slab and sphere geometries, are solved by a power series expansion without imposing any boundary condition. The relation to the exact integral transport approach is theoretically studied, and numerical calculations for the tensorial differential approach are worked out.