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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Math. Comput. Appl. 2013, 18(3), 399-407; https://doi.org/10.3390/mca18030399
Published: 1 December 2013
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.
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MDPI and ACS Style
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. https://doi.org/10.3390/mca18030399
AMA Style
Tanbay T, Ozgener B. Numerical Solution of the Multigroup Neutron Diffusion Equation by the Meshless RBF Collocation Method. Mathematical and Computational Applications. 2013; 18(3):399-407. https://doi.org/10.3390/mca18030399
Chicago/Turabian StyleTanbay, Tayfun, and Bilge Ozgener. 2013. "Numerical Solution of the Multigroup Neutron Diffusion Equation by the Meshless RBF Collocation Method" Mathematical and Computational Applications 18, no. 3: 399-407. https://doi.org/10.3390/mca18030399
