The solution to one-dimensional nonlinear advection-diffusion equation was analyzed in the paper.The numerical solution to one-dimensional nonlinear advection-diffusion equation under Frendlich isotherm was obtained through differential method.The results of concentration at different adsorption indexes,different time and different places in a barrier showed that differential methods used in this paper to solve one-dimensional nonlinear advection-diffusion equation were feasible,and the differential form was convergence.