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Theory and Modern Applications

Table 4 The errors for the RBF collocation method 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

1.1372e–05

–

6.8717e–06

–

1.8715e–05

–

1.0472e–05

–

1/32

2.2706e–06

5.01

1.5711e–06

4.37

5.3550e–07

34.95

1.5465e–06

6.77

1/64

1.3262e–06

1.71

9.3458e–06

0.17

5.7546e–06

0.09

6.5863e–06

0.23

1/128

3.5495e–05

0.04

2.1038e–05

0.44

2.2841e–05

0.25

9.6709e–06

0.68