Affiliation of Author(s):数学学院

Journal:Applied Mathematics Letters

Key Words:Time-fractional Navier-Stokes equation; Fourier spectral method; Stability and convergence

Abstract: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.

First Author:郑如梦

Indexed by:Applied Research

Correspondence Author:Jiang Xiaoyun

Document Code:F2220D0E2A7E4ADCBC863470B31BF678

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:91

Page Number:194-200

Translation or Not:no

Date of Publication:2019-05-01

Included Journals:SCI