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Theory and Modern Applications

Table 2 The root mean square error \(L_{rms}\) 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

\(L_{rms}\)

7.335e−3

1.202e−3

1.735e−4

2.290e−5

1.4

\(L_{rms}\)

7.176e−3

1.179e−3

1.703e−4

2.250e−5

1.8

\(L_{rms}\)

6.589e−3

1.093e−3

1.585e−4

2.100e−5

1.9

\(L_{rms}\)

6.321e−3

1.053e−3

1.531e−4

2.029e−5