Open AccessA note on the parabolic identification problem with involution and Dirichlet condition
Author(s) -
Allaberen Ashyralyev,
Abdullah Said Erdogan,
A. M. Sarsenbi
Publication year - 2020
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2020m3/130-139
Subject(s) - mathematics , parabolic partial differential equation , involution (esoterism) , mathematical analysis , parameter identification problem , dirichlet problem , partial differential equation , boundary value problem , model parameter , politics , political science , law
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.