On the approximate numerical solutions of fractional heat equation with heat source and heat loss

Autor:	Ömer Faruk Gözükızıl, Hami Gündoğdu
Rok vydání:	2022
Předmět:	Renewable Energy Sustainability and the Environment Approximation error Decomposition method (queueing theory) Order (group theory) Heat losses Applied mathematics Heat equation Sense (electronics) Mathematics Fractional calculus
Zdroj:	Thermal Science. 26:3773-3786
ISSN:	2334-7163 0354-9836
DOI:	10.2298/tsci210713321g
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e318b1c64ae1825ef426e395dbf5cfe1 https://doi.org/10.2298/tsci210713321g Zobrazit plný text záznamu Plný text ve formátu PDF