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]

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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　Grünwald　difference　(WSGD)　scheme　in　time　and　Legendre　spectral　method　in　space.　Especially,　the　corrected　weighted　shifted　Grünwald　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.　©　2019　Elsevier　Inc.

Keyword：

Numerical methods Spectroscopy

Community：

[ 1 ] [Zhang, Jinghua]School of Information and Statistics, Guangxi University of Finance and Economics, Nanning; 530003, China
[ 2 ] [Liu, Fawang]School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane; Queensland; 4001, Australia
[ 3 ] [Liu, Fawang]College of Mathematics and Computer Science, Fuzhou University, Fujian; 350116, China
[ 4 ] [Lin, Zeng]School of Mathematical Sciences, Xiamen University, Xiamen; Fujian; 361005, China
[ 5 ] [Anh, Vo]Faculty of Science, Engineering and Technology, Swinburne University of Technology, PO Box 218, Hawthorn; Victoria; 3122, Australia

Reprint 's Address：

[liu, fawang]school of mathematical sciences, queensland university of technology, gpo box 2434, brisbane; queensland; 4001, australia;;[liu, fawang]college of mathematics and computer science, fuzhou university, fujian; 350116, china

Email：

f.liu@qut.edu.au

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Source ：

Applied Mathematics and Computation

ISSN： 0096-3003

Year： 2019

Volume： 356

Page： 1-12

3 . 4 7 2

JCR@2019

3 . 5 0 0

JCR@2023

ESI HC Threshold：59

JCR Journal Grade：1

CAS Journal Grade：2

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count： 18

ESI Highly Cited Papers on the List： 0 Unfold All

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Chinese Cited Count：

30 Days PV： 0

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