Document Type
Conference Proceeding
Source of Publication
MATEC Web of Conferences
Publication Date
10-4-2017
Abstract
© The Authors, published by EDP Sciences, 2017. In this article we study the mean square consistency on numerical solutions of stochastic wave equations with cubic nonlinearities on two dimensional rectangles. In [8], we proved that the strong Fourier solution of these semi-linear wave equations exists and is unique on an appropriate Hilbert space. A linear-implicit Euler method is used to discretize the related Fourier coefficients. We prove that the linear-implicit Euler method applied to a solution of nonlinear stochastic wave equations in two dimensions is mean square consistency under the geometric condition.
DOI Link
ISSN
Publisher
EDP Sciences
Volume
125
First Page
5020
Disciplines
Computer Sciences | Mathematics
Keywords
Computer circuits, Control nonlinearities, Fourier analysis, Nonlinear equations, Partial differential equations, Stochastic systems, Cubic nonlinearities, Fourier coefficients, Geometric conditions, Linear implicit, Numerical solution, Semilinear wave equations, Stochastic wave equations, Two-dimension, Wave equations
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Hazaimeh, Haziem M., "Mean Square Consistency on Numerical Solutions of Stochastic Wave Equation with Cubic Nonlinearities on 2D Rectangles" (2017). All Works. 2344.
https://zuscholars.zu.ac.ae/works/2344
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series