Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion
Year: 2019
Author: Guillaume Fenger, Olivier Goubet, Youcef Mammeri
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.2019.js60.02
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1397–1414
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Stochastic long wave equations midpoint scheme strong order of convergence.
Author Details
-
Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion
Fan, Feiting | Wei, MinzhiPhysica D: Nonlinear Phenomena, Vol. 458 (2024), Iss. P.133995
https://doi.org/10.1016/j.physd.2023.133995 [Citations: 0] -
Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries
Wang, Xiaofeng | Cheng, HongInternational Journal of Computational Methods, Vol. 20 (2023), Iss. 05
https://doi.org/10.1142/S0219876222500621 [Citations: 1] -
Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion
Dumont, Serge | Goubet, Olivier | Mammeri, YoucefDiscrete & Continuous Dynamical Systems - S, Vol. 14 (2021), Iss. 8 P.2877
https://doi.org/10.3934/dcdss.2020456 [Citations: 1]