NAFeb 27, 2018
Finite difference/element method for time-fractional Navier-Stokes equationsGuang-an Zou, Yong Zhou, Bashir Ahmad et al.
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 < α < 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.