The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations
Dan-Dan DaiDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, P.R. China + Institute of Physics, Jining Normal University, Jining, Inner Mongolia, P.R. ChinaTing-Ting BanDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, P.R. ChinaYulan WangDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, P.R. ChinaWei ZhangInstitute of Economics and Management, Jining Normal University, Jining, Inner Mongolia, P.R. China
2021en
ABI
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.
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