Volume 3, Issue 2, June 2018, Page: 25-33
Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation
Rakotondravanona Jean Eric, Department of Physics & Applications, University of Antananarivo, Antananarivo, Madagascar
Raboanary Roland, Department of Physics & Applications, University of Antananarivo, Antananarivo, Madagascar
Received: May 19, 2018;       Accepted: Jun. 6, 2018;       Published: Jul. 7, 2018
DOI: 10.11648/j.wjap.20180302.12      View  623      Downloads  33
Abstract
In this paper, an approach of determining analytical solutions of the mono-kinetic multiregion neutron diffusion equation from two-dimensional Cartesian geometry is presented. The technical approach is based on the Lie symmetry group for partial differential equation. The local symmetry groups to the one-parameter transformation are obtained. The invariant solutions spanned of an expansion of neutron fluxes with respect to the space, time and material regions are reported.
Keywords
Multiregion Neutron Diffusion Equation, Symmetry Groups, Invariant Solutions
To cite this article
Rakotondravanona Jean Eric, Raboanary Roland, Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation, World Journal of Applied Physics. Vol. 3, No. 2, 2018, pp. 25-33. doi: 10.11648/j.wjap.20180302.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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