Inverse problems for discrete Hermite nabla difference equation
Inverse problems are studied for discrete Hermite equations with nabla difference including initial value, terminal value and Sturm–Liouville problems. A quantitative study is conducted to obtain the solution. The problem with initial value and terminal value conditions is transformed into a simple...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2431000 |
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| Summary: | Inverse problems are studied for discrete Hermite equations with nabla difference including initial value, terminal value and Sturm–Liouville problems. A quantitative study is conducted to obtain the solution. The problem with initial value and terminal value conditions is transformed into a simple recursive formula while the Sturm–Liouville problem is transformed into a generalized eigenvalue problem. Some analyses related to the corresponding matrix are done. The eigenvalues are computed using the determinant of the corresponding pencil matrix. Furthermore, a simple and fast recursive algorithm is proposed for computing corresponding eigenvectors. Several examples are provided to explain the method simply and to demonstrate the numerical results. |
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| ISSN: | 2769-0911 |