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Theory and Modern Applications

Table 6 The MAE for Example 5 using \(S_{3}\)

From: Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

x

SU-pseudo-GM

[47]

M = 5

M = 7

M = 20

Method 1

Nystrom

M = 16

M = 20

0

7.46e-05

1.76e-15

1.28e-15

7.66e-05

0

0.1

6.70e-05

1.59e-15

1.12e-15

6.90e-05

4.87e-06

0.2

6.02e-05

1.45e-15

1.05e-15

6.13e-05

6.50e-06

0.3

5.68e-05

1.30e-15

9.44e-16

5.36e-05

3.04e-05

0.4

5.70e-05

1.17e-15

8.33e-16

4.60e-05

1.01e-04

0.5

5.91e-05

1.05e-15

7.77e-16

3.72e-05

3.29e-04

0.6

6.09e-05

9.44e-16

6.66e-16

3.07e-05

1.16e-03

0.7

6.02e-05

8.33e-16

6.11e-16

2.22e-05

4.13e-03

0.8

5.59e-05

7.77e-16

4.44e-16

1.36e-05

1.39e-02

0.9

4.89e-05

7.77e-16

5.55e-16

6.90e-05

4.40e-02

1

4.26e-05

6.66e-16

4.44e-16

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