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Zbl 1164.82331
Kadem, Abdelouahab
Solving the one-dimensional neutron transport equation using Chebyshev polynomials and the Sumudu transform.
(English)
[J] An. Univ. Oradea, Fasc. Mat. 12, 153-171 (2005). ISSN 1221-1265

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 2000:
*82D75 Nuclear reactor theory
33C90 Appl. of hypergeometric functions

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

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Scientific prize winners of the ICM 2010
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