Finite difference/element method for time-fractional Navier-Stokes equations
Numerical Analysis
2018-02-28 v1
Abstract
We apply a composite idea of semi-discrete finite difference approximation in time and Galerkin finite element method in space to solve the Navier-Stokes equations with Caputo derivative of order 0 < {\alpha} < 1. The stability properties and convergence error estimates for both the semi-discrete and fully discrete schemes are obtained. Numerical example is provided to illustrate the validity of theoretical results.
Cite
@article{arxiv.1802.09779,
title = {Finite difference/element method for time-fractional Navier-Stokes equations},
author = {Guang-an Zou and Yong Zhou and Bashir Ahmad and Ahmed Alsaedi},
journal= {arXiv preprint arXiv:1802.09779},
year = {2018}
}