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

In the present paper, a source identification problem for hyperbolic-parabolic equation with involution and Dirichlet condition is studied. The stability estimates for the solution of the source identification hyperbolic-parabolic problem are established. The first order of accuracy stable difference scheme is constructed for the approximate solution of the problem under consideration. Numerical results are given for a simple test problem.

Authors
Ashyraliyev M.1 , Ashyralyyeva M.A.2 , Ashyralyev A. 3, 4, 5
Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Publisher
KARAGANDA STATE UNIV
Number of issue
3
Language
English
Pages
120-129
Status
Published
DOI
10.31489/2020M3/120-129
Volume
99
Year
2020
Organizations
  • 1 Bahcesehir Univ, Dept Software Engn, Istanbul, Turkey
  • 2 Turkmen State Univ, Dept Appl Math & Informat, Ashkhabad, Turkmenistan
  • 3 Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey
  • 4 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 5 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
Keywords
source identification problem; hyperbolic-parabolic differential equation; difference scheme; stability
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/73168/
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