An Iterative Regularization Method for Identifying the Source Term in a Second Order Differential Equation

Fairouz Zouyed and Sebti Djemoui

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:713403

DOI: 10.1155/2015/713403

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