| |||||||
| Analytical Solution | Approximate Solution | Error | ||||
FD | CD | BD | FD | CD | BD | ||
| , , , , , Number of Grid Points = 200 | ||||||
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
| 0.47552826 | 0.47507598 | 0.47552826 | 0.47598055 | 0.095113% | 0.000000% | 0.095113% |
| 0.18163562 | 0.18090380 | 0.18163562 | 0.18236743 | 0.402904% | 0.000000% | 0.402904% |
| −0.18163567 | −0.18236748 | −0.18163567 | −0.18090385 | 0.402904% | 0.000000% | 0.402904% |
| −0.47552829 | −0.47598058 | −0.47552829 | −0.47507601 | 0.095113% | 0.000000% | 0.095113% |
| −0.18163557 | −0.18090385 | −0.18163567 | −0.18236748 | 0.402850% | 0.000054% | 0.402958% |
| 0.18163571 | 0.18236743 | 0.18163562 | 0.18090380 | 0.402850% | 0.000054% | 0.402957% |
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
, , , , , Number of Grid Points = 10,000 | |||||||
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
| 0.47552826 | 0.47640902 | 0.47641793 | 0.47642683 | 0.185217% | 0.187090% | 0.188962% |
| 0.18163562 | 0.18450289 | 0.18451732 | 0.18453175 | 1.578586% | 1.586531% | 1.594477% |
| −0.18163567 | −0.17731856 | −0.17730406 | −0.17728957 | 2.376796% | 2.384775% | 2.392754% |
| −0.47552829 | −0.47194709 | −0.47193802 | −0.47192896 | 0.753101% | 0.755006% | 0.756912% |
| −0.18163557 | −0.19168562 | −0.19169999 | −0.19171436 | 5.533084% | 5.540995% | 5.548906% |
| 0.18163571 | 0.17007575 | 0.17006120 | 0.17004665 | 6.364366% | 6.372376% | 6.380387% |
| 0.58778527 | 0.58759009 | 0.58758969 | 0.58758930 | 0.033206% | 0.033273% | 0.033340% |
, , , , , Number of Grid Points = 20,000 | |||||||
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
| 0.47552826 | 0.47552782 | 0.47552826 | 0.47552871 | 0.000094% | 0.000000% | 0.000094% |
| 0.18163562 | 0.18163489 | 0.18163562 | 0.18163634 | 0.000398% | 0.000000% | 0.000398% |
| −0.18163567 | −0.18163639 | −0.18163567 | −0.18163494 | 0.000398% | 0.000000% | 0.000398% |
| −0.47552829 | −0.47552874 | −0.47552829 | −0.47552785 | 0.000094% | 0.000000% | 0.000094% |
| −0.18163557 | −0.18163494 | −0.18163567 | −0.18163639 | 0.000344% | 0.000054% | 0.000451% |
| 0.18163571 | 0.18163634 | 0.18163562 | 0.18163489 | 0.000344% | 0.000054% | 0.000451% |
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
, , , , , Number of Grid Points = 100,000 | |||||||
| 0.58778527 | 0.58778527 | 0.58778527 | 0.58778527 | 0.000000% | 0.000000% | 0.000000% |
| 0.47552826 | 0.47553674 | 0.47553683 | 0.47553692 | 0.001783% | 0.001802% | 0.001821% |
| 0.18163562 | 0.18166320 | 0.18166335 | 0.18166349 | 0.015189% | 0.015268% | 0.015348% |
| −0.18163567 | −0.18159421 | −0.18159407 | −0.18159392 | 0.022823% | 0.022903% | 0.022982% |
| −0.47552829 | −0.47549407 | −0.47549398 | −0.47549389 | 0.007196% | 0.007215% | 0.007234% |
| −0.18163557 | −0.18173259 | −0.18173273 | −0.18173288 | 0.053416% | 0.053495% | 0.053575% |