Title

Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles

Source of Publication

AIP Conference Proceedings

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.

Document Type

Conference Proceeding

ISBN

['9780735415065']

Publication Date

6-5-2017

DOI

10.1063/1.4981961

Author First name, Last name, Institution

Haziem M. Hazaimeh, Zayed University

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