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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