Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space-Reference-Cited by-同舟云学术

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

Published:2020-04-10 Issue: Volume:2020 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zhang Xiaoli¹²,Zhang Haolu³,Jia Lina²,Wang Yulan²^ORCID,Zhang Wei¹^ORCID

Affiliation:

1. Institute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, China

2. Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China

3. School of Civil Engineering, Inner Mongolia University of Technology, Hohhot 010051, China

Abstract

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.

Funder

Natural Science Foundation of Inner Mongolia

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/1794975.pdf

Reference26 articles.

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