Ashyralyev, Allaberen; Erdogan, Abdullah Said; Sazaklioglu, Ali UgurSazaklıoğlu, Ali Uğur2024-06-252024-06-2520190928-0219https://acikarsiv.thk.edu.tr/handle/123456789/1369The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.EnglishFinite difference method; inverse problem; parabolic equation; source identification problem; almost coercivity; stabilityRIGHT-HAND SIDE; INVERSE PROBLEM; FLUID-FLOW; EQUATION; PARAMETERArticle