A rarely adopted simple finite difference scheme has been successfully employed to solve the nonlinear coupled partial differential equations, with nonhomogeneous boundary condition, which describe the free convection at a vertical plate with transpiration. The solution is obtained for a Prandtl number of 0.72, in the blowing parameter range of - 1.9 < Cx < 1.9. The effects of suction and blowing on heat transfer and skin friction are discussed. It is concluded that the boundary layer has a better memory of the upstream suction distribution than of the upstream blowing distribution. © 1988 Springer-Verlag.