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FIZIKA B 19 (2010) 4 , 257-268
 
A POLYNOMIAL ANALYTICAL SOLUTION TO THE ONE-SPEED NEUTRON
TRANSPORT EQUATION IN SLAB GEOMETRY UNDER INHERENTLY VERIFIED
MARK-MARSHAK BOUNDARY CONDITIONS
K. BOUBAKER BEN MAHMOUD
Unité de Physique des dispositifs à Semi-conducteurs UPDS,
Faculté des Sciences de Tunis, Campus Universitaire 2092 Tunis,
Tunisia
E-mail address: mmbb11112000@yahoo.fr
Received 22 July 2010; Accepted 19 January 2010
Online 6 May 2011
Boubaker polynomials are used to obtain analytical solutions to
the one-speed neutron transport equation for strongly anisotropic
scattering. The main advantage of the method lies in proposing
solution terms which verify inherent symmetry and Mark-Marshak
boundary conditions prior to resolution process. This original
feature results in convergent and accurate solutions. Boubaker
polynomials expansion scheme is further applied to homogeneous
slab problem with strongly anisotropic scattering and vacuum
boundaries. Parallel to the classical formulation, the kernels
for scattered and fission neutrons are originally chosen on
the basis of most realistic models.
The results, expressed in terms of linear extrapolation distance
de, are recorded and compared to those presented in the
related literature.
PACS numbers: 28.20.Gd, 25.40.Dn
UDC 539.125.52, 539.171
Keywords: Boubaker polynomials expansion scheme, one-speed neutron,
transport equation, Mark-Marshak boundary conditions
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