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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The errors for finite difference method 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

6.504E–03

 

1.724E–02

 

1/32

1.728E–03

3.76

4.545E–03

3.79

1/64

4.451E–04

3.88

1.166E–03

3.90

1/128

1.130E–04

3.94

2.953E–04

3.95

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