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.