Open AccessThe 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/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.