Finite integration method for two and three dimensions linear schrodinger equation

Abstract EN

In this paper,Finite IntegrationMethod with Ordinary Linear Approach(FIM-OLA) (uniform distribution of nodes) to find approximate analytical solution of two and three dimensional linear unsteady Schrödinger equation is presented.We use simpson1/3 rule with Trapezoidal rule for two dimensions (n is even for simpson1/3) and simpson3/8 with Trapezoidal rule for three diminution (n divided by 3 for simpson3/8 ) .

The method was compared with the finite differences methods in the aspects accuracy and error .

The results show that the finite integration method is more accurate and has more convergence than the finite differences methods in literature.