EPJ Web Conf.
Volume 154, 20173rd International Conference on Theoretical and Experimental Studies in Nuclear Applications and Technology (TESNAT 2017)
|Number of page(s)||2|
|Published online||29 September 2017|
S4 solution of the transport equation for eigenvalues using Legendre polynomials
Osmaniye Korkut Ata University, Faculty of Arts and Sciences, Department of Physics, Osmaniye, Turkey
* Corresponding author: firstname.lastname@example.org
Published online: 29 September 2017
Numerical solution of the transport equation for monoenergetic neutrons scattered isotropically through the medium of a finite homogeneous slab is studied for the determination of the eigenvalues. After obtaining the discrete ordinates form of the transport equation, separated homogeneous and particular solutions are formed and then the eigenvalues are calculated using the Gauss-Legendre quadrature set. Then, the calculated eigenvalues for various values of the c0, the mean number of secondary neutrons per collision, are given in the tables.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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