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.

引用

页数：9

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