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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2013, 18(3), 399-407; https://doi.org/10.3390/mca18030399

Numerical Solution of the Multigroup Neutron Diffusion Equation by the Meshless RBF Collocation Method

Institute of Energy, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
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Published: 1 December 2013
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Abstract

The multigroup neutron diffusion criticality problem is studied by the radial basis function collocation method. The multiquadric is chosen as the radial basis function. To investigate the effectiveness of the method, one, two and three-group problems are considered. It is found that the radial basis function collocation method produces highly accurate multiplication factors and it is also efficient in the calculation of group fluxes.
Keywords: Neutron diffusion; Radial basis function collocation; Multiquadric Neutron diffusion; Radial basis function collocation; Multiquadric
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Tanbay, T.; Ozgener, B. Numerical Solution of the Multigroup Neutron Diffusion Equation by the Meshless RBF Collocation Method. Math. Comput. Appl. 2013, 18, 399-407.

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