Adomian decomposition method for solving two-dimensional Schrödinger equation

In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian decomposition method is presented. The method was compared with other methods in the aspects of convergence and accuracy. The results show that the Adomian decomposition method is more accurate, and has better convergence than the other methods in literature, and CPU times needed for this problem are reported.