Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 8
The recurrence error of the 5th approximate solution of the imaginary part in Example
2.
| τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| 0.1 | 1.926007539341256 × 10−12 | 1.922465206587756 × 10−14 | 1.815440978456445 × 10−16 | 1.627499919875739 × 10−18 | 0.2 | 3.212183277944602 × 10−10 | 6.217126403566797 × 10−12 | 1.123792369482977 × 10−13 | 1.922772907632402 × 10−15 | 0.3 | 6.577805665150846 × 10−9 | 1.892287752233342 × 10−10 | 5.028971037475495 × 10−12 | 1.256513068851356 × 10−13 | 0.4 | 5.664659911177431 × 10−8 | 2.169068535347471 × 10−9 | 7.610081091968145 × 10−11 | 2.493643660279493 × 10−12 | 0.5 | 3.026797519340784 × 10−7 | 1.450910885437432 × 10−8 | 6.332736016444167 × 10−10 | 2.566730381652197 × 10−11 | 0.6 | 1.194404986717049 × 10−6 | 6.891376017773192 × 10−8 | 3.602715131890486 × 10−9 | 1.740543007331589 × 10−10 | 0.7 | 3.821136878718447 × 10−6 | 2.581914817482758 × 10−7 | 1.574595275095308 × 10−8 | 8.837938438846447 × 10−10 | 0.8 | 1.0480156108100884 × 10−5 | 8.126788825165077 × 10−7 | 5.66988415843565 × 10−8 | 3.628126275591497 × 10−9 | 0.9 | 2.5548636246620873 × 10−5 | 2.238467006737139 × 10−6 | 1.759964515566688 × 10−7 | 1.265411208128710 × 10−8 | 1.0 | 5.674529965660330 × 10−5 | 5.548386062052328 × 10−6 | 4.85763358662764 × 10−7 | 3.879371899481992 × 10−8 |
|
|