A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer

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...

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Main Authors:	Yang Zhifeng, Zhao Yang, Fan Guobing
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2015-01-01
Series:	Thermal Science
Subjects:	variational iteration algorithm LFVIA-II diffusion equation heat transfer non-differentiable local fractional derivative
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615105Y .pdf

id	doaj-b4568bf3de234adab97c637eda6cbe4f
record_format	Article
spelling	doaj-b4568bf3de234adab97c637eda6cbe4f2021-01-02T01:52:18ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632015-01-0119suppl. 110510810.2298/TSCI15S1S05Y0354-983615105YA new iteration algorithm for solving the diffusion problem in non-differentiable heat transferYang Zhifeng0Zhao Yang1Fan Guobing2Hunan Normal University, College of Mathematics and Computer Science, Changsha, China + Hengyang Normal University, Department of Mathematics and Computational Science, Hengyang, ChinaJiangmen Polytechnic, Department of Electronic and Information Technology, Jiangmen, ChinaHunan University of Finance and Economics, Department of Basic Subjects, Changsha, ChinaIn 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615105Y .pdfvariational iteration algorithmLFVIA-IIdiffusion equationheat transfernon-differentiablelocal fractional derivative
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yang Zhifeng Zhao Yang Fan Guobing
spellingShingle	Yang Zhifeng Zhao Yang Fan Guobing A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer Thermal Science variational iteration algorithm LFVIA-II diffusion equation heat transfer non-differentiable local fractional derivative
author_facet	Yang Zhifeng Zhao Yang Fan Guobing
author_sort	Yang Zhifeng
title	A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
title_short	A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
title_full	A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
title_fullStr	A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
title_full_unstemmed	A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
title_sort	new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836 2334-7163
publishDate	2015-01-01
description	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.
topic	variational iteration algorithm LFVIA-II diffusion equation heat transfer non-differentiable local fractional derivative
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615105Y .pdf
work_keys_str_mv	AT yangzhifeng anewiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer AT zhaoyang anewiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer AT fanguobing anewiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer AT yangzhifeng newiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer AT zhaoyang newiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer AT fanguobing newiterationalgorithmforsolvingthediffusionprobleminnondifferentiableheattransfer
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A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer

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