@Article{CiCP-26-1397,
author = {Fenger , GuillaumeGoubet , Olivier and Mammeri , Youcef},
title = {Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {5},
pages = {1397--1414},
abstract = {<p style="margin-top: 5px; text-align: justify;">We consider a midpoint scheme to approximate analytical solutions to a
white noise driven BBM equation that reads
du−du<sub>xx</sub>+u<sub>x</sub> ◦dW+u<sup>p</sup>u<sub>x</sub>dt=0.
We prove the well-posedness of the time-discrete approximation scheme and we provide the strong error order, which is 1.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2019.js60.02},
url = {http://global-sci.org/intro/article_detail/cicp/13269.html}
}