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Theory and Modern Applications

Table 3 The maximum absolute error \(L_{\infty}\) for different values of α with \(N=100\) (Example 3.2).

From: A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation

α

 

M = 5

M = 10

M = 20

M = 40

1.3

\(L_{\infty}\)

3.268e−3

5.051e−4

5.568e−5

8.072e−6

Ratio

2.6928

3.1813

2.7862

1.5

\(L_{\infty}\)

3.152e−3

4.969e−4

6.515e−5

8.042e−6

Ratio

2.6652

2.9311

3.0181

1.7

\(L_{\infty}\)

3.021e−3

4.884e−4

6.463e−5

8.005e−6

Ratio

2.6289

2.9178

3.0132

1.95

\(L_{\infty}\)

2.824e−3

4.775e−4

6.403e−5

7.971e−6

Ratio

2.5642

2.8987

3.0059