The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations | Zendy

Dan-Dan Dai | Zendy; Ting-Ting Ban | Zendy; Yulan Wang | Zendy; Wei Zhang | Zendy

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The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations

Author(s) -

Dan-Dan Dai,

Ting-Ting Ban,

Yulan Wang,

Wei Zhang

Publication year - 2021

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci200302021d

Subject(s) - piecewise , legendre polynomials , variable (mathematics) , reaction–diffusion system , kernel (algebra) , advection , mathematics , diffusion , fractional calculus , order (exchange) , mathematical analysis , physics , pure mathematics , thermodynamics , finance , economics

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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