Determination of a source term and boundary heat flux in an inverse heat equation
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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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