A note on the parabolic identification problem with involution and Dirichlet condition

A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. The stable difference scheme for the approximate solution of this problem is presented. Furthermore, stability estimates for the difference scheme of the source identification parabolic problem are presented. Numerical results are given.

Authors
Ashyralyev A. 1, 2, 3 , Erdogan A.S. 4 , Sarsenbi A.5, 6
Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Publisher
KARAGANDA STATE UNIV
Number of issue
3
Language
English
Pages
130-139
Status
Published
DOI
10.31489/2020M3/130-139
Volume
99
Year
2020
Organizations
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey
  • 2 Reoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Palm Beach State Coll, Palm Beach Gardens, FL 33410 USA
  • 5 M Auezov SKS Univ, Dept Math Methods & Modeling, Shymkent, Kazakhstan
  • 6 Silkway Int Univ, Shymkent, Kazakhstan
Keywords
well-posedness; elliptic equations; positivity; coercive stability; source identification; exact estimates; boundary value problem
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/73169/
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