The solutions of steady-state convection equations in the spaces that possess restoring nucleus

In this paper, in the space W ₂ ¹ that possesses restoring nucleus, we obtain analytic solutions in the series form for the steady-state convection diffusion equation. The solutions have the following characteristics: (1) they are given in the accurate form: (2) they can be calculated in the explicit way, without solving the eguations: (3) the error of the approximate solution will be monotonically decreased under the meaning of the norm of the spaces when a cardinal term is added in the procedure of numerical solution. Finally, we calculated the example in [2], the result shows that our solution is more accurate than that in [2].