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Theory and Modern Applications

Table 1 Errors of different second-order schemes \((k=10)\)

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

N

20

40

80

160

SFD

7.03e − 002

1.72e − 002

4.28e − 003

1.07e − 003

5PT

5.22e − 002

1.60e − 002

4.20e − 003

1.06e − 003

GFEM

8.93e − 002

2.07e − 002

5.07e − 003

1.26e − 003

GLSFEM

3.38e − 002

1.03e − 002

2.71e − 003

6.86e − 004

RD5

6.26e − 002

1.35e − 002

3.24e − 003

8.02e − 004

QOFDT2

3.35e − 001

8.83e − 002

2.23e − 002

5.58e − 003