ITERATIVE REGULARIZATION METHOD FOR AN ABSTRACT INVERSE GOURSAT PROBLEM
| dc.contributor.author | REBBANI Faouzia (Co-Auteur) | |
| dc.date.accessioned | 2025-09-15T10:20:11Z | |
| dc.date.available | 2025-09-15T10:20:11Z | |
| dc.date.issued | 2021 | |
| dc.description | no. 2, 279-297 DOI: 10.22034/KJM.2020.237076.1900 | |
| dc.description.abstract | We deal with a problem of identification of an unknown source in the abstract inverse Goursat problem with two-time variables. We show that the considered problem is ill-posed according to the Hadamard sense. That is, the solution does not depend continuously on the data. In order to overcome the instability of the solution, we propose a regularization method via an iterative procedure, with the help of an extra measurement at an internal point. Some convergence results are established under a priori bound assumptions on the exact solution. Finally, numerical tests are presented to illustrate the accuracy and efficiency of the proposed regularization method. | |
| dc.identifier.uri | http://dspace.ensti-annaba.dz:4000/handle/123456789/804 | |
| dc.language.iso | en | |
| dc.publisher | Khayyam Journal of Mathematics | |
| dc.title | ITERATIVE REGULARIZATION METHOD FOR AN ABSTRACT INVERSE GOURSAT PROBLEM | |
| dc.type | Article |
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