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Table 4 Comparison of the residual errors by using proposed method at different N and α=3 for x values for example 3

From: Spectral Tau method for solving general fractional order differential equations with linear functional argument

x

e 8

e 10

e 15

0

− 4.48 × 10−5

1.98 × 10−5

1.39 × 10−8

0.2

− 1.28 × 10−5

− 1.82 × 10−8

7.90 × 10−9

0.4

3.58 × 10−5

− 1.90 × 10−7

− 6.91 × 10−9

0.6

7.30 × 10−5

8.85 × 10−8

− 3.04 × 10−8

0.8

− 3.30 × 10−6

7.47 × 10−8

− 6.26 × 10−8

1

4.49 × 10−5

1.88 × 10−7

− 1.05 × 10−7