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Theory and Modern Applications

Table 2 Errors of different fourth-order schemes \((k=10)\)

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

N

20

40

80

160

ACFS

1.18e − 003

7.23e − 005

4.50e − 006

2.81e − 007

CFS

1.19e − 003

7.36e − 005

4.60e − 006

2.87e − 007

EB

2.02e − 003

1.22e − 004

7.58e − 006

4.73e − 007

EB4

2.46e − 003

1.29e − 004

7.69e − 006

4.75e − 007

HO

1.19e − 003

7.36e − 005

4.60e − 006

2.87e − 007

QOFDT4

1.65e − 002

1.08e − 003

6.89e − 005

4.31e − 006

T2QOFD

1.60e − 002

1.00e − 003

6.30e − 005

3.94e − 006