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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.04065 |
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| _version_ | 1866917578846240768 |
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| author | Halic, Mihai |
| author_facet | Halic, Mihai |
| contents | We consider a boundary value problem (BVP) modelling one-dimensional heat-conduction with radiation, which is derived from the Stefan-Boltzmann law. The problem strongly depends on the parameters, making difficult to estimate the solution. We use an analytical approach to determine upper and lower bounds to the exact solution of the BVP, which allows estimating the latter. Finally, we support our theoretical arguments with numerical data, by implementing them into the MAPLE computer program. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04065 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Study of the One-Dimensional Heat-Conduction Equation with Radiation Halic, Mihai Numerical Analysis Classical Analysis and ODEs 34B15, 34L30, 34B60 We consider a boundary value problem (BVP) modelling one-dimensional heat-conduction with radiation, which is derived from the Stefan-Boltzmann law. The problem strongly depends on the parameters, making difficult to estimate the solution. We use an analytical approach to determine upper and lower bounds to the exact solution of the BVP, which allows estimating the latter. Finally, we support our theoretical arguments with numerical data, by implementing them into the MAPLE computer program. |
| title | A Study of the One-Dimensional Heat-Conduction Equation with Radiation |
| topic | Numerical Analysis Classical Analysis and ODEs 34B15, 34L30, 34B60 |
| url | https://arxiv.org/abs/2311.04065 |