THERMAL SCIENCE

International Scientific Journal

Dan-Dan Dai

,

Ting-Ting Ban

,

Yu-Lan Wang

,

Wei Zhang

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 Issue 2, PAGES [1261 - 1268]
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The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations

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