scholarly journals Addendum: Shqair, M., et al. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method. Mathematics 2019, 7, 633

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1061
Author(s):  
Shqair ◽  
El-Ajou ◽  
Nairat
Keyword(s):  
Analytical Solution ◽  
Power Series ◽  
Diffusion Equations ◽  
Neutron Diffusion ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Residual Power Series ◽  
Residual Power

The authors wish to insert this additional sentence in the Acknowledgments section [...]

scholarly journals Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 633 ◽  
Author(s):  
Mohammed Shqair ◽  
Ahmad El-Ajou ◽  
Mazen Nairat
Keyword(s):  
Power Series ◽  
Diffusion Theory ◽  
Analytical Description ◽  
Diffusion Equations ◽  
Neutron Diffusion ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Residual Power Series ◽  
Residual Power

In this paper, a multi-energy groups of a neutron diffusion equations system is analytically solved by a residual power series method. The solution is generalized to consider three different geometries: slab, cylinder and sphere. Diffusion of two and four energy groups of neutrons is specifically analyzed through numerical calculation at certain boundary conditions. This study revels sufficient analytical description for radial flux distribution of multi-energy groups of neutron diffusion theory as well as determination of each nuclear reactor dimension in criticality case. The generated results are compatible with other different methods data. The generated results are practically efficient for neutron reactors dimension.

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