Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 9
The recurrence error of the 5th approximate solution of the real part in Example
3.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 5.718354659335265 × 10−11 | 7.147943324169061 × 10−13 | 7.942159249076738 × 10−15 | 7.942159249076745 × 10−17 | | 0.2 | 7.319493963949132 × 10−9 | 1.829873490987278 × 10−10 | 4.066385535527289 × 10−12 | 8.132771071054586 × 10−14 | | 0.3 | 1.250604163996619 × 10−7 | 4.689765614987320 × 10−9 | 1.563255204995775 × 10−10 | 4.689765614987315 × 10−12 | | 0.4 | 9.368952273854868 × 10−7 | 4.684476136927436 × 10−8 | 2.081989394189970 × 10−9 | 8.327957576759896 × 10−11 | | 0.5 | 4.467464577605666 × 10−6 | 2.792165361003536 × 10−7 | 1.551202978335300 × 10−8 | 7.756014891676498 × 10−10 | | 0.6 | 1.6007733299156725 × 10−5 | 1.200579997436754 × 10−6 | 8.003866649578365 × 10−8 | 4.802319989747010 × 10−9 | | 0.7 | 4.709310951212926 × 10−5 | 4.120647082311310 × 10−6 | 3.204947730686570 × 10−7 | 2.243463411480599 × 10−8 | | 0.8 | 1.1992258910534259 × 10−4 | 1.1992258910534254 × 10−5 | 1.065978569825267 × 10−6 | 8.527828558602135 × 10−8 | | 0.9 | 2.735071306660605 × 10−4 | 3.076955219993183 × 10−5 | 3.076955219993184 × 10−6 | 2.769259697993865 × 10−7 | | 1.0 | 5.718354659335249 × 10−4 | 7.147943324169061 × 10−5 | 7.942159249076736 × 10−6 | 7.942159249076734 × 10−7 |
|
|
