Adomian decomposition method for solving two-dimensional Schrödinger equation

Abstract

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.