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Theory and Modern Applications

Table 1 The maximum absolute error \(L_{\infty}\) for different values of α with \(N=100\) (Example 3.1).

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

1.2

\(L_{\infty}\)

8.632e−3

1.524e−3

2.302e−4

3.173e−5

Ratio

–

2.5018

2.7269

2.8590

1.4

\(L_{\infty}\)

8.514e−3

1.513e−3

2.294e−4

3.168e−5

Ratio

–

2.4924

2.7214

2.8480

1.8

\(L_{\infty}\)

8.092e−3

1.475e−3

2.266e−4

3.149e−5

Ratio

–

2.4557

2.7282

2.8472

1.9

\(L_{\infty}\)

7.883e−3

1.456e−3

2.252e−4

3.140e−5

Ratio

–

2.4367

2.6927

2.8424