Table 1 Comparison of the GA iterative method with Mann, S, Picard–Mann and Picard–Ishikawa iterative methods
From: A faster iterative method for solving nonlinear third-order BVPs based on Green’s function
Step | Mann | S | Picard–Mann | Picard–Ishikawa | GA |
|---|---|---|---|---|---|
1 | 4.0000000000 | 4.0000000000 | 4.0000000000 | 4.0000000000 | 4.0000000000 |
2 | 3.6250000000 | 3.3593750000 | 3.3125000000 | 3.2421875000 | 3.0605468750 |
3 | 3.3906250000 | 3.1291503906 | 3.0976562500 | 3.0586547852 | 3.0036659241 |
4 | 3.2441406250 | 3.0464134216 | 3.0305175781 | 3.0142054558 | 3.0002219602 |
5 | 3.1525878906 | 3.0166798234 | 3.0095367432 | 3.0034403838 | 3.0000134390 |
6 | 3.0953674316 | 3.0059943115 | 3.0029802322 | 3.0008332180 | 3.0000008137 |
7 | 3.0596046448 | 3.0021542057 | 3.0009313226 | 3.0002017950 | 3.0000000493 |
8 | 3.0372529030 | 3.0007741677 | 3.0002910383 | 3.0000488722 | 3.0000000030 |
9 | 3.0232830644 | 3.0002782165 | 3.0000909495 | 3.0000118362 | 3.0000000002 |
10 | 3.0145519152 | 3.0000999841 | 3.0000284217 | 3.0000028666 | 3.0000000000 |
11 | 3.0090949470 | 3.0000359318 | 3.0000088818 | 3.0000006943 | 3.0000000000 |
12 | 3.0056843419 | 3.0000129130 | 3.0000027756 | 3.0000001681 | 3.0000000000 |
13 | 3.0035527137 | 3.0000046406 | 3.0000008674 | 3.0000000407 | 3.0000000000 |
14 | 3.0022204460 | 3.0000016677 | 3.0000002711 | 3.0000000099 | 3.0000000000 |
15 | 3.0013877788 | 3.0000005993 | 3.0000000847 | 3.0000000024 | 3.0000000000 |
16 | 3.0008673617 | 3.0000002154 | 3.0000000265 | 3.0000000006 | 3.0000000000 |
17 | 3.0005421011 | 3.0000000774 | 3.0000000083 | 3.0000000001 | 3.0000000000 |
18 | 3.0003388132 | 3.0000000278 | 3.0000000026 | 3.0000000000 | 3.0000000000 |
19 | 3.0002117582 | 3.0000000100 | 3.0000000008 | 3.0000000000 | 3.0000000000 |
20 | 3.0001323489 | 3.0000000036 | 3.0000000003 | 3.0000000000 | 3.0000000000 |
21 | 3.0000827181 | 3.0000000013 | 3.0000000001 | 3.0000000000 | 3.0000000000 |
22 | 3.0000516988 | 3.0000000005 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
23 | 3.0000323117 | 3.0000000002 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
24 | 3.0000201948 | 3.0000000001 | 3.0000000000 | 3.0000000000 | 3.0000000000 |
25 | 3.0000126218 | 3.0000000000 | 3.0000000000 | 3.0000000000 | 3.0000000000 |