Source identification problems for hyperbolic differential and difference equations

In the present study, a source identification problem for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the source identification problem are established. Furthermore, a first-order-of-accuracy difference scheme for the numerical solution of the source identification problem is presented. Stability estimates for the solution of the difference scheme are established. This difference scheme is tested on an example, and some numerical results are presented. © 2018 Walter de Gruyter GmbH, Berlin/Boston 2018.

Authors
Ashyralyev A. 1, 2 , Emharab F.3, 4
Publisher
Walter de Gruyter GmbH
Language
English
Status
Published
Year
2018
Organizations
  • 1 Department of Mathematics, Near East University, TRNC, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan, Nicosia, 050010, Cyprus
  • 4 Department of Mathematics, Omar Al-Mukhtar University, El-Beida, Libyan Arab Jamahiriya
Keywords
difference scheme; hyperbolic differential equation; Source identification problem
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36545/