Paper Info
Title
Numerical Solution For A Class Of Space-Time Fractional Equation By The Piecewise Reproducing Kernel Method
Abstract
Due to the non-locality of fractional derivative, the analytical solution and good approximate solution of fractional partial differential equations are usually difficult to get. Reproducing kernel space is a perfect space in studying this type of equations, however the numerical results of equations by using the traditional reproducing kernel method (RKM) isn't very good. Based on this problem, we present the piecewise technique in the reproducing kernel space to solve this type of equations. The focus of this paper is to verify the stability and high accuracy of the present method by comparing the absolute error with traditional RKM and study the effect on absolute error for different values of alpha. Furthermore, we can study the distribution of entire space at a particular time period. Three numerical experiments are provided to verify the efficiency and stability of the proposed method. Meanwhile, it is tested by experiments that the change of the value of alpha has little effect on its accuracy.
Year
DOI
Venue
2019
10.1080/00207160.2018.1544367
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Keywords
Field
DocType
Piecewise technique, reproducing kernel space, space-time fractional equation, Caputo fractional derivative, approximate solution, Partial differential equations
Space time,Mathematical analysis,Fractional calculus,Kernel method,Partial differential equation,Approximate solution,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
96
10
0020-7160
Citations 
PageRank 
References 
0
0.34
23
Authors
3
Name
Order
Citations
PageRank
Yulan Wang132.14
Li-na Jia200.34
Hao-lu Zhang300.34