(National Library of Serbia, 2018) Ali Sazaklioglu; Abdullah Erdogan; Allaberen Ashyralyev; Sazaklıoğlu, Ali Uğur
In the present paper, unique solvability of a source identification inverse
problem for a semilinear equation with a final overdetermination in a Banach
space is investigated. Moreover, the first order of accuracy Rothe difference
scheme is presented for numerically solving this problem. The existence and
uniqueness result for this difference scheme is given. The efficiency of the
proposed method is evaluated by means of computational experiments.
