Splitting method for two-dimensional phreatic flow equation

In this paper, according to their difference in “physical” meaning, two-dimensional phreatic flow equation, which has been transformed, is devided into two parts—advection and dispersion by the splitting method. For the former, alternating derection finite difference method will be used and for the latter, it is resolved by alternating direction Picard iteration, therefore, the aim of computing the solution of whole problem will be reached. At last, the validity of the algorithms is proved by the numerical example. The comparison of the proposed method with the conventional finite difference (linearized) is made. The results show that the precision of calculation by the method proposed in this paper is better than the conventional methods.