Abstract | ||
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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 |
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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 Li | 1 | 1 | 0.35 |
Dongfang Li | 2 | 106 | 15.34 |