Existence and uniqueness results for an inverse problem for semilinear parabolic equations-Reference-Cited by-同舟云学术

Existence and uniqueness results for an inverse problem for semilinear parabolic equations

Published:2017 Issue:4 Volume:31 Page:1057-1064
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sazaklioglu Ali¹,Ashyralyev Allaberen²,Erdogan Abdullah³

Affiliation:

1. University of Turkish Aeronautical Association, Department of Astronautical Engineering, Ankara, Turkey

2. Near East University, Department of Mathematics, Nicosia, TRNC, Mersin, Turkey + Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan + Peoples’ Friendship University of Russia, Moscow, Russia

3. eSigma LABS, ISE, Kazakh-British Technical University, Almaty, Kazakhstan

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

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