Theory and Modern Applications
Table 1 The absolute errors of different k and \(\pmb{M=3}\) for Example 1
t | Euler | SCW | Euler | SCW | Euler | SCW |
|---|---|---|---|---|---|---|
k  = 4 | k  = 4 | k  = 5 | k  = 5 | k  = 6 | k  = 6 | |
0.0 | 5.3744e-003 | 6.0169e-003 | 2.1912e-003 | 2.5058e-003 | 9.7161e-004 | 1.1272e-003 |
0.1 | 5.9284e-004 | 1.2504e-003 | 3.6354e-004 | 4.3350e-004 | 1.6976e-005 | 3.2831e-004 |
0.2 | 1.6221e-003 | 5.1499e-005 | 1.0167e-004 | 6.1143e-004 | 1.0476e-004 | 2.0079e-004 |
0.3 | 1.6909e-003 | 1.1123e-004 | 1.1436e-004 | 5.5204e-004 | 1.0746e-004 | 1.7628e-004 |
0.4 | 4.6755e-004 | 1.0434e-003 | 4.3188e-004 | 2.0180e-004 | 3.0374e-005 | 2.3828e-004 |
0.5 | 2.0212e-003 | 3.4768e-003 | 5.0356e-004 | 1.1110e-003 | 1.2551e-004 | 3.8232e-004 |
0.6 | 4.8121e-004 | 9.2652e-004 | 4.3422e-004 | 1.5066e-004 | 3.0730e-005 | 2.1590e-004 |
0.7 | 1.7295e-003 | 3.6739e-004 | 1.2103e-004 | 4.4277e-004 | 1.0861e-004 | 1.2863e-004 |
0.8 | 1.7247e-003 | 4.0781e-004 | 1.1954e-004 | 4.2369e-004 | 1.0818e-004 | 1.1993e-004 |
0.9 | 4.6700e-004 | 8.0375e-004 | 4.2982e-004 | 9.2562e-005 | 2.9460e-005 | 1.8947e-004 |