4.3 Article

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

Journal

THERMAL SCIENCE
Volume 25, Issue 2, Pages 1261-1268

Publisher

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI200302021D

Keywords

advection-reaction-diffusion equation; variable fractional derivative; piecewise reproducing kernel method; reproducing kernel space

Categories

Funding

  1. Natural Science Foundation of Inner Mongolia [2017MS0103]

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This paper introduces new reproductive kernel spaces based on Legendre polynomials for solving time variable order fractional advection-reaction-diffusion equations. Examples are provided to demonstrate the effectiveness and reliability of the method.
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.

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