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

Fairouz Zouyed, Sebti Djemoui
2015 Mathematical Problems in Engineering  
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,
more » ... . Moreover, numerical results are presented to illustrate the accuracy and efficiency of this method.
doi:10.1155/2015/713403 fatcat:jjx3igjdhrfajo64ww2gg4zyii