Publication: Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination
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Date
2017
Authors
Ashyralyev, Allaberen; Sazaklioglu, Ali Ugur
Journal Title
Journal ISSN
Volume Title
Publisher
TAYLOR & FRANCIS INC
Abstract
In the present paper, a time-dependent source identification problem subject to an integral overdetermination is considered. Stability estimates for this differential problem are established. Furthermore, a first and a second order of accuracy difference schemes are proposed for the approximate solution of this problem. Stability and almost coercive stability estimates for these difference schemes are established. Additionally, some illustrative numerical results are provided.
Description
Keywords
Finite difference method; identification problem; inverse problem; stability theory; 65M06; 65M32; 34K20, RIGHT-HAND SIDE; PARABOLIC EQUATION; NUMERICAL-SOLUTION; SOLVABILITY; STABILITY; SPACE