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Theory and Modern Applications

Table 6 Errors of different schemes \((k=500)\)

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]

1.00e − 000

3.66e − 000

3.13e − 000

2.79e − 000

Fourth-order scheme in [4]

1.00e − 000

3.00e − 000

7.24e − 001

4.91e − 002

Sixth-order scheme in [10]

1.50e − 000

3.07e − 000

5.25e − 002

6.27e − 004

Parameter scheme in [9]

8.13e − 000

4.00e − 000

6.86e − 000

5.53e − 002