U-N Method For The Critical Slab Problem In One-Speed Neutron Transport Theory

Ozturk H., Gungor S.

Conference on Nuclear Physic and Astrophysics - From Stable Beams to Exotic Nucle, Cappadocia, Turkey, 25 - 30 June 2008, vol.1072, pp.253-254 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1072
  • City: Cappadocia
  • Country: Turkey
  • Page Numbers: pp.253-254
  • Çukurova University Affiliated: No

Abstract

The Chebyshev polynomial approximation (U-N method) is used to solve the critical slab problem in one-speed neutron transport theory using Marshak boundary condition. The isotropic scattering kernel with the combination of forward and backward scattering is chosen for the neutrons in a uniform finite slab. Numerical results obtained by the U-N method are presented in the tables together with the results obtained by the well-known P-N method for comparison. It is shown that the method converges rapidly with its easily executable equations.