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Table 2 Comparison of the residual errors by using proposed method at different N for x values for example 2

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

x

e 10

e 8

e 6

0

− 8.88 × 10−16

− 3.88 × 10−14

− 5.34 × 10−13

0.2

− 3.93 × 10−16

− 1.80 × 10−14

− 2.48 × 10−13

0.4

2.15 × 10−16

7.00 × 10−15

9.65 × 10−14

0.6

9.00 × 10−16

3.49 × 10−14

4.80 × 10−13

0.8

1.64 × 10−15

6.51 × 10−14

8.95 × 10−14

1

1.33 × 10−13

9.72 × 10−14

2.44 × 10−15