Numerical Approximation of the Fractional Rayleigh-Stokes Problem Arising in a Generalised Maxwell Fluid

被引：6

作者：

Le Dinh Long ^{[1
,2
]}

Moradi, Bahman ^{[3
]}

Nikan, Omid ^{[3
]}

Avazzadeh, Zakieh ^{[4
]}

Lopes, Antonio M. ^{[5
]}

机构：

[1] Van Lang Univ, Sci & Technol Adv Inst, Div Appl Math, Ho Chi Minh City 700000, Vietnam

[2] Van Lang Univ, Fac Appl Technol, Sch Engn & Technol, Ho Chi Minh City 700000, Vietnam

[3] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

[4] Xian Jiaotong Liverpool Univ, Dept Appl Math, Suzhou 215123, Peoples R China

[5] Univ Porto, Fac Engn, Inst Mech Engn, P-4200465 Porto, Portugal

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期

关键词：

fractional Rayleigh-Stokes problem; predictor-corrector method; finite difference; error estimation; FINITE-DIFFERENCE SCHEME; 2ND-GRADE FLUID; VISCOELASTIC FLUID; INTEGRODIFFERENTIAL EQUATION; MODEL; FLOWS;

D O I：

10.3390/fractalfract6070377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a numerical technique to approximate the Rayleigh-Stokes model for a generalised Maxwell fluid formulated in the Riemann-Liouville sense. The proposed method consists of two stages. First, the time discretization of the problem is accomplished by using the finite difference. Second, the space discretization is obtained by means of the predictor-corrector method. The unconditional stability result and convergence analysis are analysed theoretically. Numerical examples are provided to verify the feasibility and accuracy of the proposed method.

引用

页数：15

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