Numerical reconstruction of orders in coupled systems of subdiffusion equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913993488072704 |
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| author | Liu, Yikan |
| author_facet | Liu, Yikan |
| contents | In this paper, we develop a numerical algorithm for an inverse problem on determining fractional orders of time derivatives simultaneously in a coupled subdiffusion system. Following the theoretical uniqueness, we reformulate the order inverse problem as a discrete minimization problem, so that we derive a concise Gauss-Newton iterative method. Abundant numerical tests demonstrate the efficiency and accuracy of the proposed algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical reconstruction of orders in coupled systems of subdiffusion equations Liu, Yikan Numerical Analysis 35R11, 35R30, 65M32 In this paper, we develop a numerical algorithm for an inverse problem on determining fractional orders of time derivatives simultaneously in a coupled subdiffusion system. Following the theoretical uniqueness, we reformulate the order inverse problem as a discrete minimization problem, so that we derive a concise Gauss-Newton iterative method. Abundant numerical tests demonstrate the efficiency and accuracy of the proposed algorithm. |
| title | Numerical reconstruction of orders in coupled systems of subdiffusion equations |
| topic | Numerical Analysis 35R11, 35R30, 65M32 |
| url | https://arxiv.org/abs/2502.01413 |