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

Journal Article · Fri Sep 18 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4930477· OSTI ID:22488894

Ashyralyev, Allaberen ^[1]; Taskin, Abdulgafur ^[2]

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1. Department of Elementary Mathematics Education, Fatih University, 34500, Istanbul (Turkey)
2. Department of Mathematics, Fatih University, 34500, Istanbul (Turkey)

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.

• OSTI ID: 22488894
• Journal Information: AIP Conference Proceedings, Vol. 1676, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
ALGORITHMS
BOUNDARY-VALUE PROBLEMS
MATHEMATICAL SOLUTIONS
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
PADE APPROXIMATION
SPACE
STABILITY