Abstract: The most common method to solve ordinary differential equations is the shooting

method based on Runge Kutta method. The shooting method is commonly used，but the calculation

time is long. When the boundary conditions are more complex or more sensitive，the relaxation

method is better.In this paper，the Schrodinger equa- tion is solved by the relaxation method and

compared with the analytical solution. It is found that the numerical so- lution obtained by

relaxation method is in good agreement with the analytical solution，and the accurate solution can

be obtained quickly by relaxation method.

Key words: relaxation method, Schrodinger equation, numerical analysis