TY - JOUR
T1 - Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem
AU - F. Parzlivand and A. M. Shahrezaee
JO - Journal of Information and Computing Science
VL - 2
SP - 137
EP - 147
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22556.html
KW -  Homotopy  perturbation  method  (HPM),  Adomian  decomposition  method  (ADM),  inverse 
parabolic problem, integral overspecified data. 

AB -  In  this  paper,  the  homotopy  perturbation  method  is  proposed  to  solve  an  inverse  problem  of 
finding  an  unknown  function  in  parabolic  equation  with  overspecified  data.  Comparison  is  made  between 
Adomian decomposition method and the proposed method.  It is shown; Adomian decomposition method is 
equivalent  to  the  homotopy  perturbation  method  in  the  model  problem.  To  show  the  efficiency  of  these 
methods, several test problems are presented for one-, two- and three-dimensional cases. Comparison of the 
applied methods with exact solutions reveals that both methods are tremendously effective.