Fourth order compact finite difference scheme for two dimension schrödinger equation

Abstract EN

In this paper we improve the accuracy of the numerical approximation used to solve the two dimensions unsteady Schrödinger equation.

Subasi in (Subasi, 2002) present three different finite difference schemes to solve this equation.

In this paper, we use compact finite difference scheme to get fourth order solution.

The computational accuracy is demonstrated by comparing the results of these schemes.

The results appeared that the compact fourth order finite difference scheme is more accurate than the schemes of Subasi.