Abstract
In this work, the Wiener-Hermite Expansion (WHE) is used in solving nonlinear differential equations with stochastic excitations. The generation of the equivalent set of deterministic integro-differential equations is described. A numerical Picard's successive algorithm is suggested to solve the resulting system. The suggested algorithm is applied on the 1D diffusion equation and the results are compared with the WHEP (WHE with perturbation) technique. The current work shows that the WHE solutions are the limit of the WHEP solutions with infinite number of corrections. The suggested algorithms are shown to be efficient in estimating the stochastic response of the nonlinear systems.