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.

Авторы
Sazaklioglu A.U.1 , Ashyralyev A. 2, 3, 4 , Erdogan A.S.5
Журнал
Издательство
University of Nis
Номер выпуска
4
Язык
Английский
Страницы
1057-1064
Статус
Опубликовано
Том
31
Год
2017
Организации
  • 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
Ключевые слова
Existence; Finite difference method; Inverse problem; Semilinear parabolic equations; Uniqueness
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6267/