Urban Soils. 2017. P.. 61-92
Existence and uniqueness results for an inverse problem for semilinear parabolic equations
In the present study, unique solvability of an inverse problem governed by semilinear parabolic equations with an integral overdetermination is investigated. Furthermore, for the approximate solution of this problem a first order of accuracy difference scheme is constructed. Existence and uniqueness results for the solution of this difference scheme are established. Considering a particular example, some numerical results are discussed. © 2017, University of Nis. All rights reserved.
Authors
Sazaklioglu A.U. 1 , Ashyralyev A. 2, 3, 4 , Erdogan A.S. 5
Journal
Publisher
University of Nis
Issue number
4
Language
English
Pages
1057-1064
State
Published
Link
Volume
31
Year
2017
Organizations
- 1 Department of Astronautical Engineering, University of Turkish Aeronautical Association, Ankara, 06790, Turkey
- 2 Department of Mathematics, Near East University, Nicosia, TRNC, Mersin, 10, Turkey
- 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
- 4 Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
- 5 Sigma LABS, ISE, Kazakh-British Technical University, Almaty, 050000, Kazakhstan
Keywords
Existence; Finite difference method; Inverse problem; Semilinear parabolic equations; Uniqueness
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Other records
Comptes Rendus de L'Academie Bulgare des Sciences. Vol. 70. 2017. P.. 411-418