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Table 4 Comparison of absolute errors of the present method with the Taylor method for Example 9.2

From: Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix

t Method in [18] Method in [20] Present method
N = 16 m = 16 N = 16
0.1 1.93 × 10−6 7.60 × 10−10 2.87 × 10−13
0.2 4.90 × 10−6 1.00 × 10−10 3.53 × 10−12
0.3 8.40 × 10−6 1.00 × 10−10 4.42 × 10−12
0.4 1.28 × 10−5 2.00 × 10−10 5.16 × 10−12
0.5 2.13 × 10−5 7.00 × 10−10 2.55 × 10−12
0.6 3.16 × 10−5 6.00 × 10−9 5.96 × 10−12
0.7 4.42 × 10−5 1.70 × 10−8 4.56 × 10−12
0.8 5.43 × 10−5 4.30 × 10−8 3.87 × 10−12
0.9 1.22 × 10−4 1.01 × 10−7 8.65 × 10−13