Source identification problems for the neutron transport equations

Taskin A.

Bulletin of the Karaganda University. Mathematics Series, vol.115, no.3, pp.137-149, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 115 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.31489/2024m3/137-149
  • Journal Name: Bulletin of the Karaganda University. Mathematics Series
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.137-149
  • Keywords: difference scheme, differential equation, identification problem, neutron transport equation, stability inequality
  • Yıldız Technical University Affiliated: No

Abstract

In this study, the time-dependent source identification problem for the two-dimensional neutron transport equation was studied. For the approximate solution of this problem a first order of accuracy difference scheme was presented. Stability estimates for the solution of these differential and difference problems were established. Numerical results were given.