Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination. (3rd October 2017)

• Record Type: Journal Article
• Authors: Ashyralyev, Allaberen; Sazaklioglu, Ali Ugur
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1276
• Page End: 1294
• Publication Date: 2017-10-03
• Subjects: Finite difference method -- identification problem -- inverse problem -- stability theory; 65M06 -- 65M32 -- 34K20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1316996
• Languages: English
• ISSNs: 0163-0563

Abstract

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.