Source identification problems for two dimensional neutron transport differential and difference equations

In this study, source identification problem for the two dimensional neutron transport equation is studied. For the approximate solution of this problem a first order of accuracy difference scheme is presented. Stability inequalities for the solution of these differential and difference problems are established. Numerical results are given. © 2021 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. 1, 4 , Taskin A. 2, 3
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0042296
Number
060017
Volume
2334
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Enka Schools, Istinye, Istanbul, 34460, Turkey
Keywords
Difference schemes; Neutron transport; Source identification problem; Stability
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