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A note on the elliptic-telegraph identification problem with non-local condition
(Maltepe Üniversitesi, 2021) Ashyralyev, Allaberen; Al-Hammouri, Ahmad
In the present paper, a source identification problem for elliptic-telegraph equation with non-local condition is studied. Stability estimatesfor the differential equations of the source identification problem are established. Furthermore,stability estimates for the difference schemes of the source identification problem are presented.
A numerical algorithm for the source identification elliptic-telegraph problem
(Maltepe Üniversitesi, 2019) Ashyralyev, Allaberen; Al-Hammouri, Ahmad
The theory of local and nonlocal boundary value problems for elliptic-telegraph equations and its applications have been investigated by many scientists in [1]-[4]. In the present study, a space-dependent identification problem for elliptic-telegraph equations is studied. Stability estimates for the solution of the source identification problem are established. Furthermore, the first and second order of accuracy difference schemes for the numerical solution of the source identification one dimensional elliptic-hyperbolic equations problems are presented. Some numerical results are presented.