Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 10
The recurrence error of the 5th approximate solution of the imaginary part in Example
3.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 4.044352360290241 × 10−12 | 2.95593353802917 × 10−14 | 1.896521881939167 × 10−16 | 1.083021715783192 × 10−18 | | 0.2 | 8.40968933466814 × 10−10 | 1.317524278577765 × 10−11 | 1.811985904661213 × 10−13 | 2.218028473923979 × 10−15 | | 0.3 | 1.908458178643264 × 10−8 | 4.670482042212528 × 10−10 | 1.003363456757901 × 10−11 | 1.918540478858446 × 10−13 | | 0.4 | 1.748682320562088 × 10−7 | 3.375983249079892 × 10−8 | 1.731218052350544 × 10−10 | 4.542522314596309 × 10−12 | | 0.5 | 9.748056090119807 × 10−7 | 4.184376006926562 × 10−8 | 1.576742960965881 × 10−9 | 5.288191971597613 × 10−11 | | 0.6 | 3.968383306108540 × 10−7 | 2.081736075628826 × 10−7 | 9.586393166413172 × 10−9 | 3.929170900702099 × 10−10 | | 0.7 | 1.3004806485065536 × 10−5 | 4.646598110881215 × 10−7 | 4.409897082301801 × 10−8 | 2.141487801867844 × 10−9 | | 0.8 | 3.636150797676397 × 10−5 | 2.617499157554769 × 10−6 | 1.654050363788450 × 10−7 | 9.303085700293241 × 10−9 | | 0.9 | 9.005675804590360 × 10−5 | 7.379530772932580 × 10−6 | 5.308339629215292 × 10−7 | 3.398636902083380 × 10−8 | | 1.0 | 2.0269777712677892 × 10−4 | 1.8650679756148277 × 10−5 | 1.506460878596710 × 10−6 | 1.083021715783191 × 10−7 |
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