Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles
Source of Publication
AIP Conference Proceedings
© 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 , 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.
American Institute of Physics Inc.
Physical Sciences and Mathematics
Fourier solution, linear-implicit Euler method, local mean consistency, Nonlinear stochastic wave equation, numerical solution
Hazaimeh, Haziem M., "Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles" (2017). All Works. 2276.
Indexed in Scopus
Open Access Type
Bronze: This publication is openly available on the publisher’s website but without an open license