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Theory and Modern Applications

Table 5 Example 3 : Numerical results for \(\pmb{p=2}\)

From: Wavelet multilevel augmentation method for linear boundary value problems

n

\(\boldsymbol {\dim S_{n}}\)

\(\boldsymbol {\|u-u_{n}\|}\)

\(\boldsymbol {\|u-u_{1,n-1}\|}\)

0

4

3.3770

 

1

7

0.2888

 

2

13

0.0351

0.0378

3

25

0.0044

0.0047

4

49

0.0007

0.0008