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Theory and Modern Applications

Table 5 Errors of different schemes \((k=200)\)

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]

3.51e − 000

2.88e − 000

1.84e − 000

4.87e − 001

Fourth-order scheme in [4]

1.32e − 000

1.23e − 001

8.15e − 003

5.12e − 004

Sixth-order scheme in [10]

6.19e − 001

4.63e − 003

6.29e − 005

9.50e − 007

Parameter scheme in [9]

3.79e − 000

1.44e − 001

3.42e − 002

8.99e − 003