Exact solution | Present method ( |
Method [ |
Method [ |
|
---|---|---|---|---|
0.1 | 0.414059 | 0.411229 | 0.415689 | 0.402472 |
0.2 | 0.508352 | 0.507572 | 0.505528 | 0.519751 |
0.3 | 0.564309 | 0.563685 | 0.566205 | 0.554755 |
0.4 | 0.603347 | 0.602926 | 0.601908 | 0.605031 |
0.5 | 0.632868 | 0.632521 | 0.634188 | 0.640487 |
0.6 | 0.656323 | 0.656059 | 0.655109 | 0.654785 |
0.7 | 0.675601 | 0.675358 | 0.676588 | 0.678700 |
0.8 | 0.691842 | 0.691690 | 0.691596 | 0.688860 |
0.9 | 0.705787 | 0.705398 | 0.704377 | 0.706495 |
Present method ( |
Method [ |
|
---|---|---|
0.1 | 1.52e-08 | 2.99e-03 |
0.2 | 6.92e-10 | 6.86e-03 |
0.3 | 1.79e-09 | 6.55e-03 |
0.4 | 5.79e-10 | 1.75e-03 |
0.5 | 1.04e-09 | 8.27e-03 |
0.6 | 3.79e-10 | 1.64e-03 |
0.7 | 1.14e-09 | 4.11e-03 |
0.8 | 9.93e-10 | 3.98e-03 |
0.9 | 8.86e-09 | 1.13e-03 |
Present method ( |
Method [ |
Method [ |
|
---|---|---|---|
0.1 | 4.73e-04 | 1.18e-03 | 8.57e-04 |
0.2 | 3.77e-05 | 1.38e-03 | 1.32e-02 |
0.3 | 6.21e-05 | 1.29e-03 | 1.11e-02 |
0.4 | 2.37e-05 | 1.52e-03 | 3.13e-03 |
0.5 | 2.85e-05 | 5.90e-04 | 1.38e-02 |
0.6 | 9.87e-06 | 4.19e-04 | 2.57e-03 |
0.7 | 2.72e-05 | 3.19e-04 | 7.08e-03 |
0.8 | 3.05e-05 | 2.54e-04 | 6.71e-03 |
0.9 | 2.59e-04 | 2.08e-04 | 2.09e-03 |
Present method ( |
Method [ |
Method [ |
|
---|---|---|---|
0.1 | 2.82e-03 | 1.62e-03 | 1.15e-02 |
0.2 | 7.79e-04 | 2.82e-03 | 1.13e-02 |
0.3 | 6.23e-04 | 1.89e-03 | 9.55e-03 |
0.4 | 4.21e-04 | 1.43e-03 | 1.68e-03 |
0.5 | 3.46e-04 | 1.32e-03 | 7.61e-03 |
0.6 | 2.63e-04 | 1.21e-03 | 1.53e-03 |
0.7 | 2.42e-04 | 9.86e-04 | 3.09e-03 |
0.8 | 1.50e-04 | 2.45e-04 | 2.98e-03 |
0.9 | 3.87e-04 | 1.40e-03 | 7.08e-04 |
Exact solution | Present method ( |
Abs. Error | |
---|---|---|---|
0.1 | 0.9910 | 0.9910 | 1.61e-12 |
0.2 | 0.9680 | 0.9680 | 4.71e-13 |
0.3 | 0.9370 | 0.9370 | 2.27e-12 |
0.4 | 0.9040 | 0.9040 | 3.04e-12 |
0.5 | 0.8750 | 0.8750 | 2.52e-12 |
0.6 | 0.8560 | 0.8560 | 9.67e-13 |
0.7 | 0.8530 | 0.8530 | 9.64e-13 |
0.8 | 0.8720 | 0.8720 | 2.36e-12 |
0.9 | 0.9190 | 0.9190 | 2.36e-12 |
Exact solution | Present method ( |
Method [ |
|
---|---|---|---|
0.1 | 0.953462589245592 | 0.953462604453520 | 0.95646081381695 |
0.2 | 0.912870929175277 | 0.912870928482700 | 0.90601007037324 |
0.3 | 0.877058019307029 | 0.877058021105882 | 0.88361513925322 |
0.4 | 0.845154254728517 | 0.845154255308354 | 0.84340093819493 |
0.5 | 0.816496580927726 | 0.816496581976408 | 0.80822420481499 |
0.6 | 0.790569415042095 | 0.790569415421744 | 0.79221049469412 |
0.7 | 0.766964988847370 | 0.766964989996025 | 0.76284677221990 |
0.8 | 0.745355992499930 | 0.745355991505969 | 0.74933888037055 |
0.9 | 0.725476250110012 | 0.725476258975992 | 0.72434536240934 |
Exact solution | Present method ( |
Method [ |
Method [ |
|
---|---|---|---|---|
0.1 | 0.201317 | 0.200842 | 0.200128 | 0.200460 |
0.2 | 0.284705 | 0.284667 | 0.286092 | 0.297987 |
0.3 | 0.348691 | 0.348628 | 0.347394 | 0.337588 |
0.4 | 0.402634 | 0.402609 | 0.404161 | 0.405769 |
0.5 | 0.450158 | 0.450129 | 0.449568 | 0.464014 |
0.6 | 0.493124 | 0.493113 | 0.492704 | 0.490550 |
0.7 | 0.532634 | 0.532607 | 0.532315 | 0.539721 |
0.8 | 0.569410 | 0.569440 | 0.569156 | 0.562698 |
0.9 | 0.603951 | 0.603690 | 0.603742 | 0.606044 |