TY - JOUR
T1 - Application of HPM for determination of an unknown function in a semi-linear parabolic equation
AU - Malihe Rostamian and AlimardanShahrezaee
JO - Journal of Information and Computing Science
VL - 2
SP - 114
EP - 123
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22554.html
KW - Inverse problem, Semi-linear parabolic equation, Homotopy perturbation method. 

AB - In this  work, the homotopy perturbation  method, a powerful technique, is applied to obtain an 
unknown  time-dependent  function  in  a  semi-linear  parabolic  equation  with  given  initial  and  boundary 
conditions. This kind of problem plays a very important role in many branches of science and engineering. 
Using the homotopy perturbation method a rapid convergent sequence can be constructed which tends to the 
exact solution of the problem. Some examples are presented to illustrate the strength of the method.