Numerical Approximation of the Fractional Rayleigh–Stokes Problem Arising in a Generalised Maxwell Fluid
Le Dinh LongDivision of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City 700000, VietnamBahman MoradiSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, IranO. NikanSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, IranZ. AvazzadehDepartment of Applied Mathematics, Xi’an Jiaotong-Liverpool University, Suzhou 215123, ChinaAntónio M. LopesInstitute of Mechanical Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal
2022en
ABI
Annotatsiya
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.
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