Table 2 Approximated solutions utilizing approach II for \(\lambda =0.5\)
From: Three new approaches for solving a class of strongly nonlinear two-point boundary value problems
x | m = 4 | m = 5 | DM [4] | SCM [8] | Exact |
|---|---|---|---|---|---|
0.1 | 0.0979671 | 0.092398 | 0.0959477 | 0.095944 | 0.0951769 |
0.2 | 0.196057 | 0.186122 | 0.1921352 | 0.192128 | 0.1906339 |
0.3 | 0.294391 | 0.281305 | 0.2888034 | 0.288793 | 0.2866534 |
0.4 | 0.393094 | 0.378081 | 0.3861955 | 0.386183 | 0.3835229 |
0.5 | 0.492288 | 0.476585 | 0.4845585 | 0.484546 | 0.4815374 |
0.6 | 0.592097 | 0.576957 | 0.5841442 | 0.584132 | 0.5810020 |
0.7 | 0.692647 | 0.679339 | 0.6852105 | 0.685200 | 0.6822351 |
0.8 | 0.794063 | 0.783875 | 0.7880234 | 0.788015 | 0.7855718 |
0.9 | 0.896471 | 0.890712 | 0.8928578 | 0.892853 | 0.8913670 |
1.0 | 1.0000000 | 1.0000000 | 1.0000000 | 1.0000000 | 1.0000000 |