Author First name, Last name, Institution

Haziem M. Hazaimeh, Zayed University

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.

ISSN

2261-236X

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

85032863676

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

Share

COinS