THERMAL SCIENCE

International Scientific Journal

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 [711 - 716]
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Solving non-local fractical heat equations based on the reproducing kernel method

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