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

Table 3

Errors of the numerical solution of Example 6.2 computed by the proposed scheme at 𝑡=1.

ℎ	𝜏	Error	Sorder
0.5	0.2	4.3204𝐸−001	—
0.5/2	0.2/16	2.1276𝐸−003	7.6658
0.5/2^2	0.2/16^2	8.2863𝐸−006	8.0043
0.5/2^3	0.2/16^3	3.2391𝐸−008	7.9990