Table of Contents
ISRN High Energy Physics
Volume 2012 (2012), Article ID 725318, 13 pages
http://dx.doi.org/10.5402/2012/725318
Research Article

Physical Investigation of on Nuclear Dynamics Equations in Nanoenergy Reactors Using a High D-O-F Variable Separation Protocol along with the Boubaker Polynomials Expansion Scheme BPES

1Department of Physics, Federal University of Technology, Minna, Niger State, Nigeria
2Ecole Superieure des Sciences et Techniques de Tunis (ESSTT)/63 Rue Sidi Jabeur 5100, Mahdia, Tunisia

Received 23 November 2011; Accepted 22 December 2011

Academic Editors: M. Della Morte, F.-H. Liu, and L. Marek-Crnjac

Copyright © 2012 O. M. Dada et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present general analytical solutions to the nuclear dynamics-related Neutron Boltzmann Transport Equation inside nanoenergy reactors. Finding a particular solution to the neutron equation by making use of boundary conditions and initial conditions may be too much for the present study and reduce the generality of the solutions. Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme, BPES, in order to make the general analytical procedure simple and adaptable for solving similar real-life problems.