In this paper, the determination of the heat source and heat flux at x = 0 in inverse heat conduction problem (IHCP) is investigated. First with a suitable transformation, the problem is reduced, then the method of fundamental solutions (MFS) and radial basis functions (RBF) is used to solve the pro...
| Main Authors: | , |
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-12-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2880-en.html |
| Summary: | In this paper, the determination of the heat source and heat flux at x = 0 in inverse heat conduction problem (IHCP) is investigated. First with a suitable transformation, the problem is reduced, then the method of fundamental solutions (MFS) and radial basis functions (RBF) is used to solve the problem. Due to ill-posed the IHCP, the Tikhonov regularization method with generalized cross validation (GCV) criterion are employed in numerical procedure. Finally, some numerical examples are presented to show the accuracy and effectiveness of the algorithm. |
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| ISSN: | 2588-2546 2588-2554 |