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Theory and Modern Applications

Table 4 Errors of different schemes \((k=100)\)

From: Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

N

100

200

400

800

Second-order scheme in [10]

3.03e − 000

9.52e − 001

2.38e − 001

5.91e − 002

Fourth-order scheme in [4]

6.33e − 002

4.22e − 003

2.65e − 004

1.65e − 005

Sixth-order scheme in [10]

2.21e − 003

3.13e − 005

4.74e − 007

7.37e − 009

Parameter scheme in [9]

1.40e − 001

3.39e − 002

8.60e − 003

2.16e − 003