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Theory and Modern Applications

Table 4 The root mean square error \(L_{rms}\) 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

\(L_{rms}\)

1.559e−3

2.002e−4

2.348e−5

2.751e−6

1.5

\(L_{rms}\)

1.477e−3

1.917e−4

2.256e−5

2.646e−6

1.7

\(L_{rms}\)

1.392e−3

1.830e−4

2.161e−5

2.516e−6

1.95

\(L_{rms}\)

1.275e−3

1.723e−4

2.052e−5

2.398e−6