TY - JOUR
TI - On the approximate numerical solutions of fractional heat equation with heat source and heat loss
AU - Gundogdu Hami
AU - Gozukizil Ömer Faruk
JN - Thermal Science
PY - 2022
VL - 26
IS - 5
SP - 3773
EP - 3786
PT - Article
AB - In this paper, we are interested in obtaining an approximate numerical solution of the fractional heat equation where the fractional derivative is in Caputo sense. We also consider the heat equation with a heat source and heat loss. The fractional Laplace-Adomian decomposition method is applied to gain the approximate numerical solutions of these equations. We give the graphical representations of the solutions depending on the order of fractional derivatives. Maximum absolute error between the exact solutions and approximate solutions depending on the fractional-order are given. For the last thing, we draw a comparison between our results and found ones in the literature.