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Title: Structures of the fractional spaces generated by the difference neutron transport operator

The initial boundary value problem for the neutron transport equation is considered. The first, second and third order of accuracy difference schemes for the approximate solution of this problem are presented. Highly accurate difference schemes for neutron transport equation based on Padé approximation are constructed. In applications, stability estimates for solutions of difference schemes for the approximate solution of the neutron transport equation are obtained.The positivity of the neutron transport operator in Slobodeckij spaces is proved. Numerical techniques are developed and algorithms are tested on an example in MATLAB.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Elementary Mathematics Education, Fatih University, 34500, Istanbul (Turkey)
  2. (Turkmenistan)
  3. Department of Mathematics, Fatih University, 34500, Istanbul (Turkey)
Publication Date:
OSTI Identifier:
22488894
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1676; Journal Issue: 1; Conference: International conference on advancements in mathematical sciences, Antalya (Turkey), 5-7 Nov 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; ALGORITHMS; BOUNDARY-VALUE PROBLEMS; MATHEMATICAL SOLUTIONS; NEUTRON TRANSPORT; NEUTRON TRANSPORT THEORY; PADE APPROXIMATION; SPACE; STABILITY