Theory and Modern Applications
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 |