Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model - Details

author：

Zhang, Jinghua (Zhang, Jinghua.) ^[1] | Liu, Fawang (Liu, Fawang.) ^[2] | Lin, Zeng (Lin, Zeng.) ^[3] | Anh, Vo (Anh, Vo.) ^[4]

Indexed by：

EI Scopus SCIE

Abstract：

In　this　paper,　we　consider　a　multi-term　time-fractional　Burgers＇　fluid　model　(MT-TFBFM).　The　analytical　solution　of　MT-TFBFM　is　obtained　by　the　method　of　separation　of　variables.　We　present　a　unified　numerical　scheme　by　virtue　of　the　weighted　shifted　Grunwald　difference　(WSGD)　scheme　in　time　and　Legendre　spectral　method　in　space.　Especially,　the　corrected　weighted　shifted　Grunwald　difference　(CWSGD)　scheme　is　utilized　to　improve　the　convergence　accuracy.　Three　examples　are　given　to　illustrate　the　stability,　accuracy　and　effectiveness　of　the　proposed　numerical　scheme.　(C)　2019　Elsevier　Inc.　All　rights　reserved.

Keyword：

CWSGD scheme Legendre spectral method Multi-term time-fractional Burgers' fluid model WSGD scheme

Community：

[ 1 ] [Zhang, Jinghua]Guangxi Univ Finance & Econ, Sch Informat & Stat, Nanning 530003, Peoples R China
[ 2 ] [Liu, Fawang]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
[ 3 ] [Liu, Fawang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
[ 4 ] [Lin, Zeng]Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[ 5 ] [Anh, Vo]Swinburne Univ Technol, Fac Sci Engn & Technol, POB 218, Hawthorn, Vic 3122, Australia

Reprint 's Address：

刘发旺
[Liu, Fawang]Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia;;[Liu, Fawang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

Email：

Is198168@163.com |
f.liu@gut.edu.au

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