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Theory and Modern Applications

Table 2 Numerical results for \(\pmb{p=2}\)

From: Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems

n

\(\dim S_{n}\)

\(\Vert u-u_{n} \Vert \)

\(\text{Time}_{n}\)

\(\Vert u-u_{1,n-1} \Vert \)

\(\text{Time}_{1,n-1}\)

\(\Vert u-u_{2,n-2} \Vert \)

\(\text{Time}_{2,n-2}\)

\(\Vert u-u_{3,n-3} \Vert \)

\(\text{Time}_{3,n-3}\)

1

7

9.6680e–5

3.8360e–1

7.9852e–2

2.4100e–2

    

2

13

1.2588e–5

1.9599e+0

5.1073e–3

4.5320e-1

5.1347e–3

4.5900e–2

  

3

25

2.2134e–06

1.2856e+01

1.6628e–04

6.4740e–1

1.8461e–4

5.1630e–1

1.8573e–4

1.2630e–1