THERMAL SCIENCE

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Geng-Yuan Liu

A NEW COMPUTATIONAL METHOD FOR FRACTAL HEAT-DIFFUSION VIA LOCAL FRACTIONAL DERIVATIVE

ABSTRACT
The fractal heat-conduction problem via local fractional derivative is investigated in this paper. The solution of the fractal heat-diffusion equation is obtained. The characteristic equation method is proposed to find the analytical solution of the partial differential equation in fractal heat-conduction problem.
KEYWORDS
heat-diffusion equation, characteristic equation method, analytical solution, local fractional derivative
PAPER SUBMITTED: 2015-12-01
PAPER REVISED: 2016-01-05
PAPER ACCEPTED: 2016-01-26
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3773L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S773 - S776]
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A new computational method for fractal heat-diffusion via local fractional derivative

© 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