TY - JOUR
T1 - A stable numerical algorithm for solving an inverse parabolic problem
AU - R. Pourgholi and M. Rostamian
JO - Journal of Information and Computing Science
VL - 4
SP - 290
EP - 298
PY - 2024
DA - 2024/01
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22738.html
KW -  Inverse  heat  conduction  problem,  Finite  difference  method,  Consistency,  Stability,  Least-
square method, Regularization method. 

AB - In this paper we consider a numerical approach for the determination of an unknown boundary 
condition in the inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary 
condition, and the initial condition are presented in a dimensionless form. The numerical algorithm based on 
finite-difference  method  and  the  least-squares  scheme  for  solving  the  inverse  problem.  To  regularize  the 
resultant  ill-conditioned  linear  system  of  equations,  we  apply  the  Tikhonov  regularization  method  with  L-
curve scheme to obtain the stable numerical approximation to the solution.