Finite Element Method for Stochastic Extended KdV Equations
Fluid Dynamics
2016-04-15 v1
Abstract
The finite element method is applied to obtain numerical solutions to the recently derived nonlinear equation for shallow water wave problem for several cases of bottom shapes. Results for time evolution of KdV solitons and cnoidal waves under stochastic forces are presented. Though small effects originating from second order dynamics may be obscured by stochastic forces, the main waves, both cnoidal and solitary ones, remain very robust against any distortions.
Cite
@article{arxiv.1604.04226,
title = {Finite Element Method for Stochastic Extended KdV Equations},
author = {Anna Karczewska and i Maciej Szczeciński and Piotr Rozmej and Bartosz Boguniewicz},
journal= {arXiv preprint arXiv:1604.04226},
year = {2016}
}
Comments
10 pages,18 figures