A numerical algorithm for a source identification problem for the elliptic-telegraph equation

In the present paper, 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 problem for one dimensional elliptic-telegraph equations are presented. Some numerical results are discussed. © 2019 Author(s).

Authors
Ashyralyev A. 1, 2, 3 , Al-Hammouri A.1
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/1.5136170
Number
070008
Volume
2183
Year
2019
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Keywords
Source identification problem; Stability; Telegraph equation
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56284/
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