Paper Publications
Numerical algorithm for two dimensional fractional Stokes’ first problem for a heated generalized second grade fluid with smooth and non-smooth solution
Release Time:2019-10-25
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Institution:
数学学院
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Journal:
Computers & Mathematics with Applications
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Key Words:
Fractional generalized second grade fluid; Finite difference - Legendre spectral method; Convergence; Stability
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Summary:
In this paper, we consider the numerical solution of the two dimensional fractional Stokes' first problem for a heated generalized second grade fluid. The proposed method is based on the L1 finite difference scheme for the temporal direction while the Legendre spectral method for the spatial direction. Numerical stability and convergence of the method are rigorously established. At the mean time, the case of non-smooth solution is considered by adding some correction terms. Numerical experiments are included, which verify the theoretical predictions. (C) 2019 Elsevier Ltd. All rights reserved.
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First Author:
杨秀
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All the Authors:
Jiang Xiaoyun
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Document Code:
430DF2EC356C4511B29CD3D2CF9583A2
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Discipline:
Natural Science
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First-Level Discipline:
Mathematics
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Volume:
78
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Issue:
5
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Page Number:
1562-1571
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Translation or Not:
No
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Date of Publication:
2019-09
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Included Journals:
SCI
