Title
Exact solutions and numerical study of time fractional Burgers' equations.
Abstract
In this paper, we investigate the exact and numerical solutions of the time fractional Burgers’ equation. By using Cole–Hopf transformation and the method of variables separation, the exact solution is presented in terms of the Mittag-Leffler functions. Moreover, by using the L1-scheme on graded meshes and the Legendre–Galerkin spectral method, the numerical approximation is obtained. A numerical example is presented to confirm all the results.
Year
DOI
Venue
2020
10.1016/j.aml.2019.106011
Applied Mathematics Letters
Keywords
Field
DocType
Time fractional Burgers’ equation,Cole–Hopf transformation,L1-method,Legendre–Galerkin spectral method
Exact solutions in general relativity,Polygon mesh,Mathematical analysis,Spectral method,Numerical approximation,Mathematics
Journal
Volume
ISSN
Citations 
100
0893-9659
1
PageRank 
References 
Authors
0.35
0
2
Name
Order
Citations
PageRank
Lili Li110.35
Dongfang Li210615.34