Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 11
The recurrence error of the 5th approximate solution of the real part in Example
4.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 1.410899077403071 × 10−10 | 1.763623846753835 × 10−12 | 1.959582051948707 × 10−14 | 1.959582051948706 × 10−16 | | 0.2 | 1.80595081907593 × 10−8 | 4.514877047689823 × 10−10 | 1.003306010597737 × 10−11 | 2.006612021195475 × 10−13 | | 0.3 | 3.085636282280515 × 10−7 | 1.15711360585519 × 10−8 | 3.857045352850636 × 10−10 | 1.157113605855191 × 10−11 | | 0.4 | 2.311617048417188 × 10−6 | 1.155808524208595 × 10−7 | 5.136926774260415 × 10−9 | 2.054770709704167 × 10−10 | | 0.5 | 1.1022649042211474 × 10−5 | 6.889155651382168 × 10−7 | 3.827308695212317 × 10−8 | 1.913654347606158 × 10−9 | | 0.6 | 3.949614441319053 × 10−5 | 2.96221083098929 × 10−6 | 1.974807220659528 × 10−7 | 1.184884332395716 × 10−8 | | 0.7 | 1.1619360589017545 × 10−4 | 1.0166940515390365 × 10−5 | 7.907620400859165 × 10−7 | 5.535334280601419 × 10−8 | | 0.8 | 2.958869821974002 × 10−4 | 2.958869821974005 × 10−5 | 0.000002630106508421338 | 2.104085206737067 × 10−7 | | 0.9 | 6.748286549347473 × 10−4 | 7.591822368015921 × 10−5 | 7.591822368015916 × 10−6 | 6.832640131214322 × 10−7 | | 1.0 | 1.410899077403069 × 10−3 | 1.7636238467538362 × 10−4 | 1.959582051948707 × 10−5 | 1.959582051948706 × 10−6 |
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