Fractional Landweber Regularization Method for Identifying the Source Term of the Time Fractional Diffusion-Wave Equation
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| Argitaratua izan da: | Symmetry vol. 17, no. 4 (2025), p. 554 |
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MDPI AG
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| Sarrera elektronikoa: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 022 | |a 2073-8994 | ||
| 024 | 7 | |a 10.3390/sym17040554 |2 doi | |
| 035 | |a 3194646515 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 084 | |a 231635 |2 nlm | ||
| 100 | 1 | |a Liang Zhenyu |u Key Laboratory of Photonic and Optical Detection in Civil Aviation, School of Science, Civil Aviation Flight University of China, Guanghan 618307, China | |
| 245 | 1 | |a Fractional Landweber Regularization Method for Identifying the Source Term of the Time Fractional Diffusion-Wave Equation | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a In this paper, the inverse problem of identifying the source term of the time fractional diffusion-wave equation is studied. This problem is ill-posed, i.e., the solution (if it exists) does not depend on the measurable data. Under the priori bound condition, the condition stable result and the optimal error bound are all obtained. The fractional Landweber iterative regularization method is used to solve this inverse problem. Based on the priori regularization parameter selection rule and the posteriori regularization parameter selection rule, the error estimation between the regularization solution and the exact solution is obtained. Moreover, the error estimations are all order optimal. At the end, three numerical examples are given to prove the effectiveness and stability of this regularization method. | |
| 653 | |a Exact solutions | ||
| 653 | |a Regularization methods | ||
| 653 | |a Regularization | ||
| 653 | |a Errors | ||
| 653 | |a Wave equations | ||
| 653 | |a Inverse problems | ||
| 653 | |a Viscoelasticity | ||
| 653 | |a Parameters | ||
| 700 | 1 | |a Jiang, Qin |u Key Laboratory of Photonic and Optical Detection in Civil Aviation, School of Science, Civil Aviation Flight University of China, Guanghan 618307, China | |
| 700 | 1 | |a Liu, Qingsong |u Key Laboratory of Photonic and Optical Detection in Civil Aviation, School of Science, Civil Aviation Flight University of China, Guanghan 618307, China | |
| 700 | 1 | |a Xu Luopeng |u Key Laboratory of Photonic and Optical Detection in Civil Aviation, School of Science, Civil Aviation Flight University of China, Guanghan 618307, China | |
| 700 | 1 | |a Yang, Fan |u School of Science, Lanzhou University of Technology, Lanzhou 730050, China | |
| 773 | 0 | |t Symmetry |g vol. 17, no. 4 (2025), p. 554 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3194646515/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3194646515/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3194646515/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |