Volume 7, Issue 3 (Vol.7, No.3, 2021)
mmr 2021, 7(3): 655-674 |
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molaee T, Shahrezaee A. محاسبه منبع و شارگرمایی در معادله گرمای معکوس وابسته به مکان با استفاده از روش جواب های بنیادی و توابع پایه ای شعاعی(MFS-RBF). mmr 2021; 7 (3) :655-674
URL: http://mmr.khu.ac.ir/article-1-2880-en.html
URL: http://mmr.khu.ac.ir/article-1-2880-en.html
1- Alzahra university
2- Alzahra university ,ashahrezaee@alzahra.ac.ir
2- Alzahra university ,
Abstract: (1276 Views)
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.
Keywords: Inverse heat conduction problem, Method of fundamental solution and Radial basis function, Tikhonov regularization, GCV criterion
Type of Study: S |
Subject:
alg
Received: 2018/11/22 | Revised: 2023/06/18 | Accepted: 2020/04/12 | Published: 2021/12/1 | ePublished: 2021/12/1
Received: 2018/11/22 | Revised: 2023/06/18 | Accepted: 2020/04/12 | Published: 2021/12/1 | ePublished: 2021/12/1
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