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A note on the parabolic identification problem with involution and Dirichlet condition
Author(s) -
Allaberen Ashyralyev,
Abdullah Said Erdogan,
Abdizhahan Sarsenbi
Publication year - 2020
Publication title -
bulletin of the karaganda university-mathematics
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 , dirichlet problem , involution (esoterism) , parameter identification problem , mathematical analysis , elliptic partial differential equation , 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.

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