Theory and Modern Applications
Table 6 Absolute errors of \(\pmb{x(t)}\) at \(\pmb{\nu=1.5}\) , \(\pmb{\alpha=\beta=\frac {1}{2}}\) and various choices of N for Example 3
t | N  = 4 | N  = 10 | N  = 16 | N  = 22 |
|---|---|---|---|---|
0.0 | 1.13192⋅10−4 | 1.86786⋅10−7 | 7.44341⋅10−9 | 1.01186⋅10−9 |
0.1 | 2.45811⋅10−3 | 6.45089⋅10−6 | 6.90277⋅10−7 | 2.16398⋅10−7 |
0.2 | 9.66465⋅10−4 | 7.50668⋅10−6 | 9.82496⋅10−7 | 1.40870⋅10−7 |
0.3 | 2.68892⋅10−3 | 1.29656⋅10−5 | 3.88810⋅10−7 | 1.83159⋅10−8 |
0.4 | 1.96520⋅10−3 | 9.83725⋅10−6 | 1.09755⋅10−7 | 8.51409⋅10−8 |
0.5 | 3.29263⋅10−5 | 5.83252⋅10−8 | 2.35275⋅10−9 | 3.42690⋅10−10 |
0.6 | 1.55184⋅10−3 | 7.11610⋅10−6 | 7.93627⋅10−8 | 5.59315⋅10−8 |
0.7 | 1.73873⋅10−3 | 6.37706⋅10−6 | 1.76019⋅10−7 | 9.73570⋅10−9 |
0.8 | 4.65342⋅10−4 | 2.51867⋅10−6 | 2.82821⋅10−7 | 3.60377⋅10−8 |
0.9 | 1.03093⋅10−3 | 1.18107⋅10−6 | 1.00283⋅10−7 | 3.81833⋅10−8 |
1.0 | 2.59284⋅10−6 | 1.15299⋅10−9 | 2.09681⋅10−11 | 1.33315⋅10−12 |