THERMAL SCIENCE

International Scientific Journal

Hossein Jafari

,

Hassan Kamil Jassim

,

Javad Vahidi

REDUCED DIFFERENTIAL TRANSFORM AND VARIATIONAL ITERATION METHODS FOR 3-D DIFFUSION MODEL IN FRACTAL HEAT TRANSFER WITHIN LOCAL FRACTIONAL OPERATORS

ABSTRACT
The analytical solutions of the 3-D diffusion equation in fractal heat transfer is found. The reduced differential transform and variational iteration methods are considered in the local fractional operator sense. In order to show the power and robustness of the proposed techniques, illustrative example is presented. The results reveal that the presented methods is very effective and simple, and can be used for other problems in mathematical physics.
KEYWORDS
local fractional operator, reduced differential transform method, diffusion equation, variational iteration method
PAPER SUBMITTED: 2017-07-07
PAPER REVISED: 2017-11-24
PAPER ACCEPTED: 2017-12-04
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI170707033J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S301 - S307]
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Reduced differential transform and variational iteration methods for 3-D diffusion model in fractal heat transfer within local fractional operators

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence