Physics International

Variable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport Equation

Dada O.M., O.B. Awojoyogbe, M. Agida and K. Boubaker

DOI : 10.3844/pisp.2011.25.30

Physics International

Volume 2, Issue 1

Pages 25-30

Abstract

Problem statement: In this study, we present general analytical solutions to the Neutron Boltzmann Transport Equation NBTE using a polynomial expansion scheme. Approach: 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. Results: Finding 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. Conclusion: The proposed analytical solution of the neutron transport equation has been positively compared to some recently publish results. I should present a relevant supply to studies on reactor modeling.

Copyright

© 2011 Dada O.M., O.B. Awojoyogbe, M. Agida and K. Boubaker. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.