Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 3
The absolute error in ATDM and HPM for Example
3 at
ν = 1.
| | τ | Real part [ATDM] Abs. error | Img. part [ATDM] Abs. error | Real part [HPM] Abs. error | Img. part [HPM] Abs. error |
| | 0.2 | 5.551115123125783 × 10−17 | 0 | 5.551115123125783 × 10−17 | 0 | | 0.4 | 2.266797860528413 × 10−13 | 1.047079090099600 × 10−14 | 2.266797860528413 × 10−13 | 1.047079090099600 × 10−14 | | 0.6 | 2.933806669824790 × 10−11 | 2.032304879939772 × 10−12 | 2.933806669824790 × 10−11 | 2.032304879939772 × 10−12 | | 0.8 | 9.229918426778560 × 10−10 | 8.528888012504510 × 10−11 | 9.229918426778560 × 10−10 | 8.528888012504510 × 10−11 | | 1.0 | 1.337196644298627 × 10−8 | 1.545451835949229 × 10−9 | 1.337196644298627 × 10−8 | 1.5454518359492290 × 10−9 |
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