Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 7
The recurrence error of the the approximate solution of the real part in Example
2.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 1.976971658223765 × 10−11 | 2.473641816908283 × 10−13 | 2.750095402344202 × 10−15 | 2.751035891508731 × 10−17 | | 0.2 | 2.52678613921649 × 10−9 | 6.326039570110015 × 10−11 | 1.407076602719864 × 10−12 | 2.815778619333783 × 10−14 | | 0.3 | 4.311799014005643 × 10−8 | 1.619798972797868 × 10−9 | 5.405728516404219 × 10−11 | 1.622980497927706 × 10−12 | | 0.4 | 3.226514454036917 × 10−7 | 1.616576300475306 × 10−8 | 7.19494314294836 × 10−10 | 2.880731496644064 × 10−11 | | 0.5 | 1.536892238892099 × 10−6 | 9.627636757901811 × 10−8 | 5.357333694498901 × 10−9 | 2.681667536373432 × 10−10 | | 0.6 | 5.501465744903981 × 10−6 | 4.136441235299919 × 10−7 | 2.762589303466765 × 10−8 | 1.659660768720673 × 10−9 | | 0.7 | 1.616936914302743 × 10−5 | 1.418630876198142 × 10−6 | 1.105549182157846 × 10−7 | 7.749774527601226 × 10−9 | | 0.8 | 4.113778074791275 × 10−5 | 4.125554726718593 × 10−6 | 3.674935878917996 × 10−7 | 2.944491394597482 × 10−8 | | 0.9 | 9.374043008389243 × 10−5 | 1.0577612629278684 × 10−5 | 1.060155771139881 × 10−6 | 9.557343069541972 × 10−8 | | 1.0 | 1.9582134116140592 × 10−4 | 2.45549708950409 × 10−5 | 2.734871750812168 × 10−6 | 2.739767139418478 × 10−7 |
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