Solving the one-dimensional neutron transport equation using Chebyshev polynomials and the Sumudu transform. (English) Zbl 1164.82331

Kadem, Abdelouahab

An. Univ. Oradea, Fasc. Mat. 12, 153-171 (2005).

Summary: In this paper the Cebyshev and the Sumudu transform are combined to solve analytically the neutron transport equation in one-dimensional homogeneous plane geometry. The procedure is based on the expansion of the angular flux in terms of the Chebyshev polynomials the resulting system of linear differential equation is solved analytically using the Sumudu transform technique.

MSC:

82D75	Nuclear reactor theory; neutron transport
33C90	Applications of hypergeometric functions

Keywords:

linear transport equation; isotropic scattering; Chebyshev spectral method; discrete-ordinates method