Source identification problems for the neutron transport equations

Taskin A.

Bulletin of the Karaganda University. Mathematics Series, cilt.115, sa.3, ss.137-149, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 115 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.31489/2024m3/137-149
  • Dergi Adı: Bulletin of the Karaganda University. Mathematics Series
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.137-149
  • Anahtar Kelimeler: difference scheme, differential equation, identification problem, neutron transport equation, stability inequality
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.