TY - JOUR
T1 - Identification of the unknown diffusion coefficient in a parabolic equation using HPM
AU - F. Parzlivand and A. M. Shahrezaee
JO - Journal of Information and Computing Science
VL - 4
SP - 310
EP - 320
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22575.html
KW - Homotopy perturbation method (HPM), inverse parabolic problem, extra measurement. 

AB - In this paper, the homotopy perturbation method (HPM) is proposed to solve an inverse problem 
of finding an unknown function in parabolic equation with an extra measurement. For solving the discussed 
inverse  problem,  at  first  we  transform  it’s  into  a  nonlinear  direct  problem  then  uses  the  proposed  method. 
Also an error analysis is presented for the method and prior and posterior error bounds of the approximate 
solution are estimated. Application of the HPM to this problem shows the rapid convergence of the sequence 
constructed by this method to the exact solution.