On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation

The present paper is devoted to study the first order of accuracy absolute stable difference scheme for the approximate solution of the space identification problem for the elliptic-telegraph equation in Hilbert spaces with the self-adjoint positive definite operator. The main theorem on the stability of the difference scheme is established. In applications, theorems on the stability of difference schemes for two types of the space identification problems for multidimensional elliptic-telegraph partial differential equations are proved. Numerical analysis is provided. © 2020 Wiley Periodicals LLC

Authors
Ashyralyev A. 1, 2, 3 , Al-Hammouri A.1 , Ashyralyyev C.4
Journal
Numerical Methods for Partial Differential Equations
Publisher
John Wiley and Sons Inc.
Language
English
Status
Published
Link
External link
DOI
10.1002/num.22561
Year
2020
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Department of Mathematical Engineering, Gumushane University, Gumushane, Turkey
Keywords
difference scheme; elliptic-telegraph equation; identification problem; stability
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65458/
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