Affiliation of Author(s):数学学院

Journal:Computers & Mathematics with Applications

Key Words:Fractional generalized second grade fluid; Finite difference - Legendre spectral method; Convergence; Stability

Abstract: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.

All the Authors:Jiang Xiaoyun

First Author:杨秀

Indexed by:Unit Twenty Basic Research

Document Code:430DF2EC356C4511B29CD3D2CF9583A2

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:78

Issue:5

Page Number:1562-1571

Translation or Not:no

Date of Publication:2019-09-01

Included Journals:SCI