EPJ Web Conf.
Volume 128, 2016Theoretical and Experimental Studies in Nuclear Applications and Technology (TESNAT 2016)
|Number of page(s)||3|
|Published online||15 November 2016|
Discrete ordinates (SN) method for the first solution of the transport equation using Chebyshev polynomials
Osmaniye Korkut Ata University, Department of Physics, Osmaniye, Turkey
Published online: 15 November 2016
First estimates for the numerical solution of the one-dimensional neutron transport equation for one-speed neutrons in a finite homogeneous slab is studied. The neutrons are assumed to be scattered isotropically through the medium. Then the discrete ordinates form of the transport equation is solved for the eigenvalue spectrum using the Chebyshev polynomials of second kind in the neutron angular flux. Therefore, the calculated eigenvalues for various values of the c0, the mean number of secondary neutrons per collision, are given in the tables using the Gauss-Chebyshev quadrature set.
© The Authors, published by EDP Sciences, 2016
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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