THERMAL SCIENCE

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Xiao-Ying Wang

LOCAL FRACTIONAL FUNCTIONAL DECOMPOSITION METHOD FOR SOLVING LOCAL FRACTIONAL POISSON EQUATION IN STEADY HEAT-CONDUCTION PROBLEM

ABSTRACT
The steady heat-conduction problem via local fractional derivative is investigated in this paper. The analytical solution of the local fractional Poisson equation is obtained. The local fractional functional decomposition method is proposed to find the analytical solution of the partial differential equation in the steady heat-conduction problem.
KEYWORDS
steady heat-conduction, Poisson equation, analytical solution, local fractional functional decomposition method, local fractional derivative
PAPER SUBMITTED: 2015-12-28
PAPER REVISED: 2016-01-20
PAPER ACCEPTED: 2016-01-21
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3785W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S785 - S788]
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Local fractional functional decomposition method for solving local fractional Poisson equation in steady heat-conduction problem

© 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