@Article{CiCP-26-5, author = {Guillaume, Fenger and Olivier, Goubet and Youcef, Mammeri}, 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 = {

We consider a midpoint scheme to approximate analytical solutions to a white noise driven BBM equation that reads du−duxx+ux ◦dW+upuxdt=0. We prove the well-posedness of the time-discrete approximation scheme and we provide the strong error order, which is 1.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2019.js60.02}, url = {https://global-sci.com/article/79863/numerical-analysis-of-the-midpoint-scheme-for-the-generalized-benjamin-bona-mahony-equation-with-white-noise-dispersion} }