Sazaklioglu, Ali Ugur; Ashyralyev, Allaberen; Erdogan, Abdullah SaidSazaklıoğlu, Ali Uğur2024-06-252024-06-2520170354-5180https://acikarsiv.thk.edu.tr/handle/123456789/1370In 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.Englishsemilinear parabolic equations; inverse problem; finite difference method; existence; uniquenessRIGHT-HAND SIDE; IDENTIFICATIONArticle