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

作     者：Dai, Dan-Dan Ban, Ting-Ting Wang, Yu-Lan Zhang, Wei 

作者机构：Inner Mongolia Univ Technol Dept Math Hohhot Peoples R China Jining Normal Univ Inst Phys Jining Inner Mongolia Peoples R China Jining Normal Univ Inst Econ & Management Jining Inner Mongolia Peoples R China 

出 版 物：《THERMAL SCIENCE》 (热科学)

年 卷 期：2021年第25卷第2期

页      面：1261-1268页

核心收录：

学科分类：080702[工学-热能工程] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：Natural Science Foundation of Inner Mongolia [2017MS0103] 

主　　题：advection-reaction-diffusion equation variable fractional derivative piecewise reproducing kernel method reproducing kernel space 

摘      要：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.