Polynomial Approximations in Neutron Transport Theory

The Milne problem, with absorption, of neutron transport theory is solved by expanding the angular distribution in Tchebycheff polynomials, rather than the more conventional Legendre polynomials. It is shown than the Tchebycheff approximation of order N, the T_N approximation, gives results for the extrapolated end point which are closer to the exact results over most of the range of absorption values considered than the corresponding P_N approximation.