Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem
In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input data that are based on homotopy. For the regul...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-07-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0304 |
| _version_ | 1827889009251057664 |
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| author | Rahimi Mostafa Rostamy Davood |
| author_facet | Rahimi Mostafa Rostamy Davood |
| author_sort | Rahimi Mostafa |
| collection | DOAJ |
| description | In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input data that are based on homotopy. For the regularizing solution, the error analysis is proved when we employ noisy measurement data as our initial guess. Finally, numerical implementations are presented. |
| first_indexed | 2024-03-12T20:49:57Z |
| format | Article |
| id | doaj.art-43c951e347eb4a0e9aabd4211b23df9b |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-03-12T20:49:57Z |
| publishDate | 2023-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-43c951e347eb4a0e9aabd4211b23df9b2023-08-01T05:15:26ZengDe GruyterNonlinear Engineering2192-80292023-07-011214192610.1515/nleng-2022-0304Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problemRahimi Mostafa0Rostamy Davood1Department of Applied Mathematics, Imam Khomeini International University, Qazvin, IranDepartment of Applied Mathematics, Imam Khomeini International University, Qazvin, IranIn this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input data that are based on homotopy. For the regularizing solution, the error analysis is proved when we employ noisy measurement data as our initial guess. Finally, numerical implementations are presented.https://doi.org/10.1515/nleng-2022-0304heat conductionbackward conductionill-posed problemhomotopy analysis methodquasi-reversibilitydiscrete mollification |
| spellingShingle | Rahimi Mostafa Rostamy Davood Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem Nonlinear Engineering heat conduction backward conduction ill-posed problem homotopy analysis method quasi-reversibility discrete mollification |
| title | Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem |
| title_full | Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem |
| title_fullStr | Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem |
| title_full_unstemmed | Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem |
| title_short | Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem |
| title_sort | homotopy analysis method for discrete quasi reversibility mollification method of nonhomogeneous backward heat conduction problem |
| topic | heat conduction backward conduction ill-posed problem homotopy analysis method quasi-reversibility discrete mollification |
| url | https://doi.org/10.1515/nleng-2022-0304 |
| work_keys_str_mv | AT rahimimostafa homotopyanalysismethodfordiscretequasireversibilitymollificationmethodofnonhomogeneousbackwardheatconductionproblem AT rostamydavood homotopyanalysismethodfordiscretequasireversibilitymollificationmethodofnonhomogeneousbackwardheatconductionproblem |