Theory and Modern Applications
Table 6 Approximate solution and absolute error as \(\alpha =1.0\) for solving Example 4 by using FAM22
t | Exact | N = 10 | N = 100 | N = 1000 | |||
|---|---|---|---|---|---|---|---|
Approx. | Error | Approx. | Error | Approx. | Error | ||
0.1 | 8.3756×10−2 | 0.0000 ×100 | 8.3756×10−2 | 2.6591×10−2 | 2.1643×10−3 | 8.3034×10−2 | 2.2180×10−4 |
0.2 | 1.4504×10−1 | 8.2805×10−2 | 6.2234×10−2 | 1.3962×10−1 | 5.4235×10−3 | 1.4448×10−1 | 1.6167×10−4 |
0.3 | 1.9265×10−1 | 1.4567×10−1 | 4.6974×10−2 | 1.8833×10−1 | 4.3138×10−3 | 1.9219×10−1 | 1.5978×10−4 |
0.4 | 2.3116×10−1 | 1.9381×10−1 | 3.7348×10−2 | 2.2761×10−1 | 3.5526×10−3 | 2.3077×10−1 | 2.2008×10−4 |
0.5 | 2.6324×10−1 | 2.3246×10−1 | 3.0779×10−2 | 2.6024×10−1 | 3.0022×10−3 | 2.6289×10−1 | 2.4983×10−4 |
0.6 | 2.9056×10−1 | 2.6453×10−1 | 2.6024×10−2 | 2.8797×10−1 | 2.5881×10−3 | 2.9026×10−1 | 1.0214×10−4 |
0.7 | 3.1423×10−1 | 2.9179×10−1 | 2.2436×10−2 | 3.1196×10−1 | 2.2667×10−3 | 3.1396×10−1 | 2.7299×10−4 |
0.8 | 3.3503×10−1 | 3.1539×10−1 | 1.9641×10−2 | 3.3302×10−1 | 2.0109×10−3 | 3.3478×10−1 | 2.4986×10−4 |
0.9 | 3.5351×10−1 | 3.3610×10−1 | 1.7408×10−2 | 3.5171×10−1 | 1.8033×10−3 | 3.5328×10−1 | 2.3113×10−4 |
1.0 | 3.7009×10−1 | 3.5451×10−1 | 1.5588×10−2 | 3.6847×10−1 | 1.6317×10−3 | 3.6988×10−1 | 2.1569×10−4 |
MXE (P) | 4.9989 ×10−2 | 2.1009 ×10−2 | 1.1232 ×10−3 | ||||
MXE (C) | 4.7348 ×10−2 | 5.4235 ×10−3 | 2.7299 ×10−4 | ||||
EOC (P) | 1.27 | ||||||
EOC (C) | 1.24 | ||||||