Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 3 1 2015 03 15 Approximate Solution of Stochastic Partial Differential Equation with Random Neumann Boundary Condition 20 24 EN A. H. EL_Bassiouny Department of Mathematics, Faculty of Science, Mansoura University, Egypt W. W. Mohammed F. Eskander IJPDEA2015314 10.12691/ijpdea-3-1-4 2015 02 04 2015 03 05 2015 03 15 In this paper we approximate the solution of a parabolic nonlinear stochastic partial differential equation (SPDE) with cubic nonlinearity and with random Neumann boundary condition via a stochastic ordinary differential equation (SODE) which is a stochastic amplitude equation near a change of stability.