THERMAL SCIENCE

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Xiuying Li

,

Boying Wu

SOLVING NON-LOCAL FRACTICAL HEAT EQUATIONS BASED ON THE REPRODUCING KERNEL METHOD

ABSTRACT
In this paper, a numerical method is proposed for 1-D fractional heat equations subject to non-local boundary conditions. The reproducing kernel satisfying nonlocal conditions is constructed and reproducing kernel theory is applied to solve the considered problem. A numerical example is given to show the effectiveness of the method.
KEYWORDS
reproducing kernel method, non-local boundary conditions, fractional, heat equation
PAPER SUBMITTED: 2015-11-12
PAPER REVISED: 2016-01-15
PAPER ACCEPTED: 2016-02-03
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3711L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S711 - S716]
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Solving non-local fractical heat equations based on the reproducing kernel method

© 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