Table 1 Comparison of speed of convergence of some iterative scheme for Example 2.
Step | Picard | M | JA | New |
|---|---|---|---|---|
0 | 0.5 | 0.5 | 0.5 | 0.5 |
1 | 0.937500000000000 | 0.996630859375000 | 0.996880798339844 | 0.999603691101074 |
2 | 0.992187500000000 | 0.999977297782898 | 0.999980541162007 | 0.999999685878513 |
3 | 0.999023437500000 | 0.999999847026076 | 0.999999878607921 | 0.999999999751022 |
4 | 0.999877929687500 | 0.999999998969219 | 0.999999999242707 | 0.999999999999803 |
5 | 0.999984741210938 | 0.999999999993054 | 0.999999999995276 | 1.0000000000000 |
6 | 0.999998092651367 | 0.999999999999953 | 0.999999999999971 | 1.00000000000000 |
7 | 0.999999761581421 | 1.0000000000000 | 1.0000000000000 | 1.00000000000000 |
8 | 0.999999970197678 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
9 | 0.999999996274710 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
10 | 0.999999999534339 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
11 | 0.999999999941792 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
12 | 0.999999999992724 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
13 | 0.999999999999091 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
14 | 0.999999999999886 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
15 | 0.999999999999986 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
16 | 0.999999999999998 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
17 | 1.0000000000000 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
18 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
19 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
20 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 | 1.00000000000000 |
