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Theory and Modern Applications

Table 5 The errors for finite difference solutions in two norms

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

h

\(\|u-U\|_{2}\)

ratio

\(\|u-U\|_{\infty}\)

ratio

1/16

2.394E–04

 

3.716E–04

 

1/32

6.077E–05

3.94

9.298E–05

4.00

1/64

1.531E–05

3.97

2.327E–05

4.00

1/128

3.842E–06

3.98

5.817E–06

4.00