Original scientific paper

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

Abstract

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.

Keywords

Boubaker polynomials expansion scheme; one-speed neutron; transport equation; Mark-Marshak boundary conditions

Hrčak ID:

304615

URI

https://hrcak.srce.hr/304615

Publication date:

1.11.2010.

Article data in other languages: croatian

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