Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation

Table 1

Comparison of the errors for the approximate solution of problem (5.1).

Method	𝑁=𝑀=20	𝑁=𝑀=40	𝑁=𝑀=80	𝑁=𝑀=160
One-modified Crank-Nicholson	0.0137	0.0038	0.0010	0.00025
Two-modified Crank-Nicholson	0.0226	0.0071	0.0019	0.00048
Three-modified Crank-Nicholson	0.0272	0.0099	0.0028	0.00072