THERMAL SCIENCE

International Scientific Journal

Dan-Dan Dai

,

Ting-Ting Ban

,

Yu-Lan WangORCID

,

Wei ZhangORCID

THE PIECEWISE REPRODUCING KERNEL METHOD FOR THE TIME VARIABLE FRACTIONAL ORDER ADVECTION-REACTION-DIFFUSION EQUATIONS

ABSTRACT
This paper structures some new reproductive kernel spaces based on Legendre polynomials to solve time variable order fractional advection-reaction-diffusion equations. Some examples are given to show the effectiveness and reliability of the method.
KEYWORDS
advection-reaction-diffusion equation, variable fractional derivative, piecewise reproducing kernel method, reproducing kernel space
PAPER SUBMITTED: 1970-01-01
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 2020-05-28
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200302021D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 2, PAGES [1261 - 1268]
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The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations

© 2026 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