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ON THE APPROXIMATE NUMERICAL SOLUTIONS OF FRACTIONAL HEAT EQUATION WITH HEAT SOURCE AND HEAT LOSS

ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2021-07-13
PAPER REVISED: 2021-10-06
PAPER ACCEPTED: 2021-10-12
PUBLISHED ONLINE: 2021-11-06
DOI REFERENCE: https://doi.org/10.2298/TSCI210713321G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 5, PAGES [3773 - 3786]
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