An Approximation of Stochastic Hyperbolic Equations

Abstract

In the present paper the two step difference scheme for the Cauchy problem for the stochastic hyperbolic equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference schemes for the numerical solution of two problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference schemes are supported by the results of numerical experiments.