Table 2 Comparison of speed of convergence of the GA iterative method with Ishikawa, Noor, Abbas, and Thakur iterative methods
From: A faster iterative method for solving nonlinear third-order BVPs based on Green’s function
Step | Ishikawa | Noor | Abbas | Thakur | GA |
|---|---|---|---|---|---|
1 | 4.0000000000 | 4.0000000000 | 4.0000000000 | 4.0000000000 | 4.0000000000 |
2 | 3.4843750000 | 3.4316406250 | 3.2792968750 | 3.1796875000 | 3.0605468750 |
3 | 3.2346191406 | 3.1863136292 | 3.0780067444 | 3.0322875977 | 3.0036659241 |
4 | 3.1136436462 | 3.0804205313 | 3.0217870399 | 3.0058016777 | 3.0002219602 |
5 | 3.0550461411 | 3.0347127684 | 3.0060850522 | 3.0010424890 | 3.0000134390 |
6 | 3.0266629746 | 3.0149834411 | 3.0016995361 | 3.0001873222 | 3.0000008137 |
7 | 3.0129148783 | 3.0064674619 | 3.0004746751 | 3.0000336595 | 3.0000000493 |
8 | 3.0062556442 | 3.0027916193 | 3.0001325753 | 3.0000060482 | 3.0000000030 |
9 | 3.0030300777 | 3.0012049763 | 3.0000370279 | 3.0000010868 | 3.0000000002 |
10 | 3.0014676939 | 3.0005201167 | 3.0000103418 | 3.0000001953 | 3.0000000000 |
11 | 3.0007109142 | 3.0002245035 | 3.0000028884 | 3.0000000351 | 3.0000000000 |
12 | 3.0003443491 | 3.0000969048 | 3.0000008067 | 3.0000000063 | 3.0000000000 |
13 | 3.0001667941 | 3.0000418281 | 3.0000002253 | 3.0000000011 | 3.0000000000 |
14 | 3.0000807909 | 3.0000180547 | 3.0000000629 | 3.0000000002 | 3.0000000000 |
15 | 3.0000391331 | 3.0000077931 | 3.0000000176 | 3.0000000000 | 3.0000000000 |
16 | 3.0000189551 | 3.0000033638 | 3.0000000049 | 3.0000000000 | 3.0000000000 |
17 | 3.0000091814 | 3.0000014520 | 3.0000000014 | 3.0000000000 | 3.0000000000 |
18 | 3.0000044472 | 3.0000006267 | 3.0000000004 | 3.0000000000 | 3.0000000000 |
19 | 3.0000021541 | 3.0000002705 | 3.0000000001 | 3.0000000000 | 3.0000000000 |
20 | 3.0000010434 | 3.0000001168 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
21 | 3.0000005054 | 3.0000000504 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
22 | 3.0000002448 | 3.0000000218 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
23 | 3.0000001186 | 3.0000000094 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
24 | 3.0000000574 | 3.0000000041 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
25 | 3.0000000278 | 3.0000000017 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
26 | 3.0000000135 | 3.0000000008 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
27 | 3.0000000065 | 3.0000000003 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
28 | 3.0000000032 | 3.0000000001 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
29 | 3.0000000015 | 3.0000000001 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
30 | 3.0000000007 | 3.0000000000 | 3.0000000000 | 3.0000000000 | 3.0000000000 |