Convergence of an Eighth-Order Compact Difference Scheme for the Nonlinear Schrödinger Equation

Table 1

Errors of the numerical solution of Example 6.1 computed by the proposed scheme at 𝑡=1.

ℎ	𝜏	Error	Sorder
𝜋/5	0.2	1.2112𝐸−002	—
𝜋/10	0.2/16	6.7642𝐸−005	8.1724
𝜋/20	0.2/16^2	4.1327𝐸−007	8.0007
𝜋/40	0.2/16^3	1.6156𝐸−009	7.9989