@Article{AAMM-12-2,
author = {Rong, An and Zhou, Can and Su, Jian},
title = {A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2020},
volume = {12},
number = {2},
pages = {362--385},
abstract = {<p style="text-align: justify;">In this paper, we present a rigorous error analysis of a new higher order fractional-step scheme for approximation of the time-dependent Navier-Stokes equations. The main feature of the proposed scheme is twofold. First, it is a two-step scheme in which the incompressibility and nonlinearities are split. Second, this scheme is a linear scheme and is simple to implement. It is shown that the proposed scheme possesses the convergence rate $\mathcal O((\Delta t)^{3/2})$ in the discrete $l^2$(<strong>H</strong>$_0^1)\cap$ $l^\infty$(<strong>L</strong>$^2$)-norm for the end-of-step velocity. Two different numerical experiments are presented to confirm the theoretical analysis and the efficiency of the proposed scheme.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0258},
url = {https://global-sci.com/article/73038/a-new-higher-order-fractional-step-method-for-the-incompressible-navier-stokes-equations}
}