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Volume 8, Issue 2
Determination of a source term and boundary heat flux in an inverse heat equation

A.M. Shahrezaee and M. Rostamian

J. Info. Comput. Sci. , 8 (2013), pp. 103-114.

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  • Abstract
In this paper, the determination of the heat source and heat flux at x = in one-dimensional inverse heat conduction problem (IHCP) is investigated. First with an suitable transformation, the problem is reduced, then the method of fundamental solutions (MFS) 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

IHCP, MFS, Heat source, Ill-posed, Tikhonov regularization method, GCV criterion.

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COPYRIGHT: © Global Science Press

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@Article{JICS-8-103, author = {A.M. Shahrezaee and M. Rostamian}, title = {Determination of a source term and boundary heat flux in an inverse heat equation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {8}, number = {2}, pages = {103--114}, abstract = { In this paper, the determination of the heat source and heat flux at x = in one-dimensional inverse heat conduction problem (IHCP) is investigated. First with an suitable transformation, the problem is reduced, then the method of fundamental solutions (MFS) 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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22619.html} }
TY - JOUR T1 - Determination of a source term and boundary heat flux in an inverse heat equation AU - A.M. Shahrezaee and M. Rostamian JO - Journal of Information and Computing Science VL - 2 SP - 103 EP - 114 PY - 2024 DA - 2024/01 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22619.html KW - IHCP, MFS, Heat source, Ill-posed, Tikhonov regularization method, GCV criterion. AB - In this paper, the determination of the heat source and heat flux at x = in one-dimensional inverse heat conduction problem (IHCP) is investigated. First with an suitable transformation, the problem is reduced, then the method of fundamental solutions (MFS) 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.
A.M. Shahrezaee and M. Rostamian. (2024). Determination of a source term and boundary heat flux in an inverse heat equation. Journal of Information and Computing Science. 8 (2). 103-114. doi:
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