Numerical solution of a source identification problem: Almost coercivity

The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example. © 2018 Walter de Gruyter GmbH, Berlin/Boston 2018.

Authors
Ashyralyev A. 1 , Erdogan A.S. 2 , Sazaklioglu A.U.3, 4, 5, 6
Journal
Journal of Inverse and Ill-Posed Problems
Publisher
Walter de Gruyter GmbH
Language
English
Status
Published
Link
External link
DOI
10.1515/jiip-2017-0072
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, Turkey
  • 4 Sigma Labs Florida, Orlando, FL 32826, United States
  • 5 Department of Astronautical Engineering, University of Turkish Aeronautical Association, Istanbul Ankara, 06790, Turkey
  • 6 Department of Mathematics, Istanbul University, Istanbul Ankara, 34452, Turkey
Keywords
almost coercivity; Finite difference method; inverse problem; parabolic equation; source identification problem; stability
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36592/
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