Exact solutions and numerical study of time fractional Burgers' equations. (February 2020)

• Record Type: Journal Article
• Authors: Li, Lili; Li, Dongfang
• Is Part Of: Applied mathematics letters. Volume 100(2020)
• Publication Date: 2020-02
• Subjects: Time fractional Burgers' equation -- Cole–Hopf transformation -- L1-method -- Legendre–Galerkin spectral method; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106011
• Languages: English
• ISSNs: 0893-9659

Abstract

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.