An iterative regularization method for identifying the source term in a second order differential equation
type: Item
instance of: scholarly article
title: An iterative regularization method for identifying the source term in a second order differential equation
zbMATH Open document ID: 1394.65057
DOI: 10.1155/2015/713403
author: Fairouz Zouyed
author: Sebti Djemoui
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper discusses the inverse problem of determining an unknown source in a second order differential equation from measured final data. This problem is ill-posed; that is, the solution (if it exists) does not depend continuously on the data. In order to solve the considered problem, an iterative method is proposed. Using this method a regularized solution is constructed and an a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, numerical results are presented to illustrate the accuracy and efficiency of this method.
Mathematics Subject Classification ID: 65L09
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35L90
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6927056
MaRDI profile type: Publication
Wikidata QID: Q59119002
full work available at URL: https://doi.org/10.1155/2015/713403
OpenAlex ID: W2097515755
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description: scientific article; zbMATH DE number 6927056