@Article{JICS-10-114, author = {Malihe Rostamian and AlimardanShahrezaee}, title = {Application of HPM for determination of an unknown function in a semi-linear parabolic equation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {2}, pages = {114--123}, abstract = {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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22554.html} }