Numerical Solution of Schrödinger Equation by Crank–Nicolson Method

Table 1

Numerical results for test problem 1 at , , , , and .

	t
			0
	0.0500
	0.1000
	0.1500
	0.2000
	0.2500
	0.3000
	0.3500
⋮	⋮	⋮	⋮	⋮	⋮	⋮
	0.4500
⋮	⋮	⋮	⋮	⋮	⋮	⋮
	0.7000
⋮	⋮	⋮	⋮	⋮	⋮	⋮
	0.9000
⋮	⋮	⋮	⋮	⋮	⋮	⋮
	1
Exact solution