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Table 5 Comparison of the absolute error with the methods in [12, 17, 28] for Example 3

From: A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation

x

Our method

Method in [17]

Method in [12]

Method in [28]

n = 3

\(n^{*}=10\)

m = 8

m = 8

0.1

1.91e-3

2.00e-3

1.08e-2

3.59e-3

0.2

6.30e-4

1.74e-3

8.96e-2

1.58e-3

0.3

4.17e-4

1.53e-3

3.78e-2

1.79e-3

0.4

4.38e-4

1.32e-3

1.44e-7

1.63e-3

0.5

7.23e-5

1.11e-3

1.01e-3

1.16e-3

0.6

1.45e-4

8.92e-4

6.62e-8

5.84e-4

0.7

1.87e-4

6.53e-4

1.26e-3

1.27e-4

0.8

2.19e-4

4.19e-4

1.28e-4

1.19e-4

0.9

3.06e-4

2.02e-4

2.07e-8

5.54e-4