Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

被引：1
|
作者：
Zhang, Xiaoli [1 ,2 ]
Zhang, Haolu [3 ]
Jia, Lina [2 ]
Wang, Yulan [2 ]
Zhang, Wei [1 ]
机构：
[1] Jining Normal Univ, Inst Econ & Management, Jining 012000, Inner Mongolia, Peoples R China
[2] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China
[3] Inner Mongolia Univ Technol, Sch Civil Engn, Hohhot 010051, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷
关键词：
BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD;
D O I：
10.1155/2020/1794975
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method.
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页数：9
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