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

Authors: Ashyraliyev Maksat; Ashyralyyeva M.A.; Ashyralyev Allaberen;

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

Abstract

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 hyperbolicparabolic 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.

Keywords

QA299.6-433, орнықтылық, гиперболо параболическое дифференциальное уравнение, QA801-939, айырымдық схема, hyperbolic parabolic differential equation, дереккөздi сәйкестендiру есебi, hyperbolic-parabolic differential equation, Analytic mechanics, устойчивость, difference scheme, stability, гиперболалы параболалық дифференциалдық теңдеу, QA273-280, 510, задача идентификации источника, source identification problem, разностная схема, Source identification problem, Probabilities. Mathematical statistics, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
gold