Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles
Document Type
Conference Proceeding
Source of Publication
AIP Conference Proceedings
Publication Date
6-5-2017
Abstract
© 2017 Author(s). In this article we study that the linear-implicit Euler method of the solution of nonlinear stochastic wave equation in 2 dimensions has the non-exploding explicit representation and is mean consistent. In [15], we proved that the strong Fourier solution of the 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 and mean consistency is discussed.
DOI Link
ISBN
9780735415065
ISSN
Publisher
American Institute of Physics Inc.
Volume
1836
Disciplines
Mathematics
Keywords
Fourier solution, linear-implicit Euler method, local mean consistency, Nonlinear stochastic wave equation, numerical solution
Scopus ID
Recommended Citation
Hazaimeh, Haziem M., "Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles" (2017). All Works. 2276.
https://zuscholars.zu.ac.ae/works/2276
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Bronze: This publication is openly available on the publisher’s website but without an open license