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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1517–1530
DOI: https://doi.org/10.7868/S0044466913090032 (Mi zvmmf9918) 		 
Method of equivalent differences for the neutron transport equation

B. D. Abramov

Institute of Physics and Power Engineering, pl. Bondarenko 1, Obninsk, Kaluga oblast, 249033, Russia
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DOI: https://doi.org/10.7868/S0044466913090032
Abstract: For boundary value problems in neutron transport theory, numerical methods are described that are based on the reduction of these problems to systems of nonlinear algebraic equations. Techniques based on the theory of nonlinear positive operators in partially ordered spaces are used to establish major results concerning the existence and uniqueness of solutions and solution-finding methods.
Key words: methods for solving boundary value problems for neutron transport equation, solution methods for nonlinear operator equations, methods of equivalent differences.
Received: 19.07.2011
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1336–1349
DOI: https://doi.org/10.1134/S0965542513090030
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: B. D. Abramov, “Method of equivalent differences for the neutron transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1517–1530; Comput. Math. Math. Phys., 53:9 (2013), 1336–1349
Citation in format AMSBIB
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