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Theory and Modern Applications

Table 6 The errors for finite difference solutions in the sense of pointwise

From: Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions

(x,y)

(0.25, 0.25)

 

(0.25, 0.5)

 

(0.5, 0.25)

 

(0.5, 0.5)

 

h

 

ratio

 

ratio

 

ratio

 

ratio

1/16

2.168E–04

 

2.269E–04

 

3.187E–04

 

3.333E–04

 

1/32

5.422E–05

4.00

5.674E–05

4.00

7.972E–05

4.00

8.337E–05

4.00

1/64

1.356E–05

4.00

1.419E–05

4.00

1.993E–05

4.00

2.085E–05

4.00

1/128

3.389E–06

4.00

3.547E–06

4.00

4.984E–06

4.00

5.212E–06

4.00