By solving convectiondiffusion equation, we have studied the influence of d if ferent difference schemes on the rumerical solutions under the condition of stoc h astic disturbance of the border or parameter, which provides a reliable differen ce scheme for solving the convectiondiffusion equation, and we have drawn a co nclusion that the influence for the stochastic disturbance on the border or para meter could be controlled by increasing the number of the grid point in numerica l calculation.