eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 2015-03-15 3 1 20 24 10.12691/ijpdea-3-1-4 IJPDEA2015314 article Approximate Solution of Stochastic Partial Differential Equation with Random Neumann Boundary Condition A. H. EL_Bassiouny el_bassiouny@mans.edu.eg 1 W. W. Mohammed 1 F. Eskander 1 Department of Mathematics, Faculty of Science, Mansoura University, Egypt 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. http://pubs.sciepub.com/ijpdea/3/1/4/ijpdea-3-1-4.pdf amplitude equations SPDEs random boundary conditions multiscale analysis Ginzburg-Landau equation