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Citation - WoS: 3
Citation - Scopus: 5
Analysis for Two-Dimensional Inverse Quasilinear Parabolic Problem by Fourier Method
(Taylor & Francis Ltd, 2021) Kanca, Fatma; Baglan, Irem
In this work, two-dimensional inverse quasi-linear parabolic problem with periodic boundary and integral overdetermination conditions is investigated. The formal solution is obtained by the Fourier approximation. Under some natural regularity and consistency conditions on the input data,the existence, uniqueness and continuously dependence upon the data of the solution are proved by iteration method. The inverse problem is first examined by linearization and then used implicit finite difference scheme for the numerical solution. Also predictor corrector method is considered in the numerical approach. Some results on the numerical solution with two examples are presented with figures and tables. The sensitivity of the scheme with respect to noisy overdetermination data is illustrated.
Solution of Inverse Euler-Bernoulli Problem With Integral Overdetermination and Periodic Boundary Conditions
(Tarbiat Modares Univ, Acecr, 2022) Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan
In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.

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