THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Zhifeng Yang

,

Yang Zhao

,

Guobing Fan

A NEW ITERATION ALGORITHM FOR SOLVING THE DIFFUSION PROBLEM IN NON-DIFFERENTIABLE HEAT TRANSFER

ABSTRACT
In the article, the variational iteration algorithm LFVIA-II is implemented to solve the diffusion equation occurring in non-differentiable heat transfer. The operators take in sense of the local fractional operators. The obtained results show the fractal behaviors of heat transfer with non-differentiability.
KEYWORDS
variational iteration algorithm, LFVIA-II, diffusion equation, heat transfer, non-differentiable, local fractional derivative
PAPER SUBMITTED: 2014-11-15
PAPER REVISED: 2015-01-22
PAPER ACCEPTED: 2015-02-12
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S05Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S105 - S108]
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A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer

© 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