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Theory and Modern Applications

Table 3 Example 2 : 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

1.6268

 

1

7

0.2097

 

2

13

0.0250

0.0341

3

25

0.0030

0.0041

4

49

0.0004

0.0005