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所属单位：数学学院

发表刊物：Applied Mathematics Letters

关键字：Time-fractional Navier-Stokes equation; Fourier spectral method; Stability and convergence

摘要：In this paper, the L1 Fourier spectral method is considered to solve the time-fractional Navier-Stokes equation with periodic boundary condition. The Fourier spectral method is employed for spatial approximation, and the L1 finite difference scheme is used to discrete the Caputo time fractional derivative. Analysis of stability and convergence are accomplished as well, leading to the conclusion that our numerical method is unconditionally stable, and the solution converges to the exact one with order O(tau(2-alpha) + N-s), where tau and N are the time step size and polynomial degree, respectively. The numerical example is provided to testify the effectiveness of our scheme, from the results of which, it turns out that the L1 Fourier spectral method is effective for solving the time-fractional Navier-Stokes equation.

第一作者：郑如梦

论文类型：应用研究

通讯作者：蒋晓芸

论文编号：F2220D0E2A7E4ADCBC863470B31BF678

学科门类：理学

一级学科：数学

卷号：91

页面范围：194-200

是否译文：否

发表时间：2019-05-01

收录刊物：SCI