The slab albedo problem using singular eigenfunctions and the third form of the transport equation

The albedo and the transmission factor for slabs are obtained using the infinite medium Greenʹs function in terms of the singular eigenfunctions in the third form of the transport equation. Our analytical results are simple as in the F N method and the convergence of the numerical results is as fast as in the CN method. Calculations are also carried out by various incoming angular fluxes and uncollided neutrons are taken into account. Our numerical results are in very good agreement with the results of the CN method and, as shown in the tables, are obtained up to the eighth order of approximation. Copyright