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

被引：17
|
作者：
Zhang, Jinghua [1 ]
Liu, Fawang [2 ,3 ]
Lin, Zeng [4 ]
Anh, Vo [5 ]
机构：
[1] Guangxi Univ Finance & Econ, Sch Informat & Stat, Nanning 530003, Peoples R China
[2] Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
[3] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
[4] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[5] Swinburne Univ Technol, Fac Sci Engn & Technol, POB 218, Hawthorn, Vic 3122, Australia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 356卷
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
Multi-term time-fractional Burgers' fluid model; WSGD scheme; Legendre spectral method; CWSGD scheme; STOKES 1ST PROBLEM; 2 SIDE WALLS; THERMAL CONVECTIVE INSTABILITY; GENERALIZED 2ND-GRADE FLUID; POROUS HALF-SPACE; OLDROYD-B FLUID; VISCOELASTIC FLUID; PARTICLE METHOD; UNSTEADY-FLOW; HELICAL FLOWS;
D O I：
10.1016/j.amc.2019.02.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1 / 12
页数：12
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