Numerical Solution of a Parabolic Source Identification Problem with Involution and Neumann Condition

In this paper, a space source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. For the approximate solution of the problem, a stable difference scheme and its stability estimates are presented. The theoretical results are supported by the numerical results of a test problem. © 2021, Springer Nature Switzerland AG.

Authors
Ashyralyev A. 1, 2, 3 , Erdogan A.S. 4
Conference proceedings
Springer Proceedings in Mathematics and Statistics
Publisher
Springer New York LLC
Language
English
Pages
223-233
Status
Published
DOI
10.1007/978-3-030-69292-6_17
Volume
351
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia TRNC Mersin 10, Turkey
  • 2 Friendship’ University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Palm Beach State College, Palm Beach Gardens, FL 33410, United States
Keywords
Finite difference method; Involution; Source identification problem; Stability estimates
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76318/
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