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.
Hazaimeh, Haziem M., "Local mean consistency on numerical solutions of stochastic wave equation with cubic nonlinearities on 2D rectangles" (2017). Scopus Indexed Articles. 1319.