Variable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport Equation
- 1 Department of Physics, Federal University of Technology, Minna, Niger State, Nigeria
- 2 Ecole Superieure des Sciences et Techniques de Tunis/63, Rue Sidi Jabeur 5100, Mahdia, Tunisia
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.
DOI: https://doi.org/10.3844/pisp.2011.25.30
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.
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Keywords
- Neutron transport equation
- distribution function
- Boubaker Polynomial Expansion Scheme (BPES)
- source function
- neutron angular flux
- analytical solutions
- seems appropriate
- describing neutron
- boltzmann equation