TY - JOUR
T1 - The VIM for solving a nonlinear inverse parabolic problem
AU - M. Rostamian and A.M. Shahrezaee
JO - Journal of Information and Computing Science
VL - 2
SP - 106
EP - 112
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22587.html
KW - IHCPs, VIM, Convergent sequence, Lagrange multiplier, Exact solution. 

AB -  In  this  paper,  we  will  use  the  variational  iteration  method  (VIM)  for  the  determination  of 
unknown coefficients in an inverse heat conduction problem (IHCP). The VIM, which is a modified general 
Lagrange  multiplier  method,  has  been  attracted  a  lot  of  attention  of  the  researchers  for  solving  different 
problems. Applying this technique, a rapid convergent sequence to the exact solution is produced. Moreover, 
this  method  does  not  require  any  discretization,  linearization  or  small  perturbation.  Therefore  it  can  be 
considered as an efficient method to solve the various kinds of problems. To show the strength of the method, 
some examples are given.