Local fractional Euler’s method for the steady heat-conduction problem

Local fractional Euler’s method for the steady heat-conduction problem

In this paper, the local fractional Euler’s method is proposed to consider the steady heat-conduction problem for the first time. The numerical solution for the local fractional heat-relaxation equation is presented. The comparison between numerical and exact solutions is discussed.

Bibliographic Details
Main Authors: Gao Feng, Yang Xiao-Jun
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
heat-conduction problem
heat-relaxation equation
numerical solution
local fractional Euler’s method
local fractional derivative
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616735G .pdf
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spelling doaj-7f70a3a6fea049be9ec13326ec27a8b72021-01-02T04:02:47ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-0120suppl. 373573810.2298/TSCI16S3735G0354-983616735GLocal fractional Euler’s method for the steady heat-conduction problemGao Feng0Yang Xiao-Jun1China University of Mining and Technology, School of Mechanics and Civil Engineering, State Key Laboratory for Geomechanics and Deep Underground Engineering, Xuzhou, ChinaChina University of Mining and Technology, School of Mechanics and Civil Engineering, State Key Laboratory for Geomechanics and Deep Underground Engineering, Xuzhou, ChinaIn this paper, the local fractional Euler’s method is proposed to consider the steady heat-conduction problem for the first time. The numerical solution for the local fractional heat-relaxation equation is presented. The comparison between numerical and exact solutions is discussed.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616735G .pdfheat-conduction problemheat-relaxation equationnumerical solutionlocal fractional Euler’s methodlocal fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Gao Feng
Yang Xiao-Jun
spellingShingle Gao Feng
Yang Xiao-Jun
Local fractional Euler’s method for the steady heat-conduction problem
Thermal Science
heat-conduction problem
heat-relaxation equation
numerical solution
local fractional Euler’s method
local fractional derivative
author_facet Gao Feng
Yang Xiao-Jun
author_sort Gao Feng
title Local fractional Euler’s method for the steady heat-conduction problem
title_short Local fractional Euler’s method for the steady heat-conduction problem
title_full Local fractional Euler’s method for the steady heat-conduction problem
title_fullStr Local fractional Euler’s method for the steady heat-conduction problem
title_full_unstemmed Local fractional Euler’s method for the steady heat-conduction problem
title_sort local fractional euler’s method for the steady heat-conduction problem
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2016-01-01
description In this paper, the local fractional Euler’s method is proposed to consider the steady heat-conduction problem for the first time. The numerical solution for the local fractional heat-relaxation equation is presented. The comparison between numerical and exact solutions is discussed.
topic heat-conduction problem
heat-relaxation equation
numerical solution
local fractional Euler’s method
local fractional derivative
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616735G .pdf
work_keys_str_mv AT gaofeng localfractionaleulersmethodforthesteadyheatconductionproblem
AT yangxiaojun localfractionaleulersmethodforthesteadyheatconductionproblem
_version_ 1724360735517048832

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