The integrating factor method for solving the steady heat transfer problems in fractal media

The integrating factor method for solving the steady heat transfer problems in fractal media

In this paper, we propose the integrating factor method via local fractional derivative for the first time. We use the proposed method to handle the steady heat-transfer equations in fractal media with the constant coefficients. Finally, we discuss the non-differentiable behaviors of fracta...

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Main Authors: Chen Shan-Xiong, Tang Zhi-Hao, Wang Hai-Ning
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
fractal heat transfer
integrating factor method
exact solution
fractals
local fractional derivative
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616729C .pdf
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spelling doaj-44ecb8c34e1c4dfeb05e98a6aec8eb862021-01-02T02:32:58ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-0120suppl. 372973310.2298/TSCI16S3729C0354-983616729CThe integrating factor method for solving the steady heat transfer problems in fractal mediaChen Shan-Xiong0Tang Zhi-Hao1Wang Hai-Ning2Southwest University, College of Computer and Information Science, Chongqing, ChinaHenan Polytechnic Institute, Department of Fundamentals, Nanyang, ChinaHunan University, School of Design, Changsha, ChinaIn this paper, we propose the integrating factor method via local fractional derivative for the first time. We use the proposed method to handle the steady heat-transfer equations in fractal media with the constant coefficients. Finally, we discuss the non-differentiable behaviors of fractal heat-transfer problems.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616729C .pdffractal heat transferintegrating factor methodexact solutionfractalslocal fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Chen Shan-Xiong
Tang Zhi-Hao
Wang Hai-Ning
spellingShingle Chen Shan-Xiong
Tang Zhi-Hao
Wang Hai-Ning
The integrating factor method for solving the steady heat transfer problems in fractal media
Thermal Science
fractal heat transfer
integrating factor method
exact solution
fractals
local fractional derivative
author_facet Chen Shan-Xiong
Tang Zhi-Hao
Wang Hai-Ning
author_sort Chen Shan-Xiong
title The integrating factor method for solving the steady heat transfer problems in fractal media
title_short The integrating factor method for solving the steady heat transfer problems in fractal media
title_full The integrating factor method for solving the steady heat transfer problems in fractal media
title_fullStr The integrating factor method for solving the steady heat transfer problems in fractal media
title_full_unstemmed The integrating factor method for solving the steady heat transfer problems in fractal media
title_sort integrating factor method for solving the steady heat transfer problems in fractal media
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2016-01-01
description In this paper, we propose the integrating factor method via local fractional derivative for the first time. We use the proposed method to handle the steady heat-transfer equations in fractal media with the constant coefficients. Finally, we discuss the non-differentiable behaviors of fractal heat-transfer problems.
topic fractal heat transfer
integrating factor method
exact solution
fractals
local fractional derivative
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616729C .pdf
work_keys_str_mv AT chenshanxiong theintegratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
AT tangzhihao theintegratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
AT wanghaining theintegratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
AT chenshanxiong integratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
AT tangzhihao integratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
AT wanghaining integratingfactormethodforsolvingthesteadyheattransferproblemsinfractalmedia
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