Table 16.
Approximate solutions obtained by the proposed algorithm for different scenarios of problem 3.
Scenario I | Scenario II | Scenario III | Scenario IV | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.0 | 0.852030 | 0.872695 | 0.888497 | 0.910890 | 0.921172 | 0.858262 | 0.806319 | 0.762359 | 0.867161 | 0.875369 | 0.883666 | 0.892054 | 0.772484 | 0.800653 | 0.828567 | 0.856235 |
0.1 | 0.853321 | 0.873852 | 0.889536 | 0.911743 | 0.921947 | 0.859634 | 0.808163 | 0.764588 | 0.868389 | 0.876522 | 0.884743 | 0.893053 | 0.774638 | 0.802529 | 0.830171 | 0.857572 |
0.2 | 0.857213 | 0.877338 | 0.892662 | 0.914306 | 0.924274 | 0.863753 | 0.813707 | 0.771290 | 0.872087 | 0.879992 | 0.887982 | 0.896059 | 0.781112 | 0.808170 | 0.834995 | 0.861597 |
0.3 | 0.863772 | 0.883191 | 0.897902 | 0.918590 | 0.928158 | 0.870637 | 0.822983 | 0.782516 | 0.878288 | 0.885811 | 0.893416 | 0.901102 | 0.791950 | 0.817618 | 0.843080 | 0.868344 |
0.4 | 0.873104 | 0.891481 | 0.905301 | 0.924628 | 0.933607 | 0.880312 | 0.836044 | 0.798353 | 0.887053 | 0.894036 | 0.901094 | 0.908228 | 0.807222 | 0.830941 | 0.854489 | 0.877872 |
0.5 | 0.885366 | 0.902304 | 0.914924 | 0.932442 | 0.940631 | 0.892818 | 0.852969 | 0.818925 | 0.898465 | 0.904745 | 0.911091 | 0.917506 | 0.827030 | 0.848238 | 0.869315 | 0.890265 |
0.6 | 0.900764 | 0.915786 | 0.926852 | 0.942077 | 0.949244 | 0.908205 | 0.873858 | 0.844392 | 0.912632 | 0.918038 | 0.923501 | 0.929022 | 0.851506 | 0.869638 | 0.887680 | 0.905633 |
0.7 | 0.919559 | 0.932085 | 0.941189 | 0.953584 | 0.959465 | 0.926534 | 0.898838 | 0.874959 | 0.929691 | 0.934044 | 0.938442 | 0.942886 | 0.880818 | 0.895301 | 0.909732 | 0.924112 |
0.8 | 0.942081 | 0.951394 | 0.958059 | 0.967025 | 0.971315 | 0.947882 | 0.928062 | 0.910875 | 0.949805 | 0.952914 | 0.956056 | 0.959230 | 0.915169 | 0.925422 | 0.935654 | 0.945865 |
0.9 | 0.968731 | 0.973942 | 0.977606 | 0.982470 | 0.984817 | 0.972336 | 0.961711 | 0.952437 | 0.973167 | 0.974830 | 0.976510 | 0.978207 | 0.954800 | 0.960231 | 0.965659 | 0.971085 |
1.0 | 0.999999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |