Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 12
The recurrence error of the 5th approximate solution of the imaginary part in Example
4.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 1.663116214880405 × 10−11 | 1.215537262646501 × 10−13 | 7.79886620339425 × 10−16 | 4.453595572610698 × 10−18 | | 0.2 | 3.458227535246130 × 10−9 | 5.417915641366231 × 10−11 | 7.451237851492589 × 10−13 | 9.120963732706710 × 10−15 | | 0.3 | 7.847950572968780 × 10−8 | 1.920592896894366 × 10−9 | 4.126025345211919 × 10−11 | 7.889410949012672 × 10−13 | | 0.4 | 7.190921222780890 × 10−7 | 2.414883590902916 × 10−8 | 7.119104761067955 × 10−10 | 1.867973372458334 × 10−11 | | 0.5 | 4.008589930546624 × 10−6 | 1.720696657048121 × 10−7 | 6.483873192722287 × 10−9 | 2.174607213188817 × 10−10 | | 0.6 | 1.6318762648010684 × 10−5 | 8.560502928660110 × 10−7 | 3.942110997503766 × 10−8 | 1.615751362357795 × 10−9 | | 0.7 | 5.347828925356589 × 10−5 | 3.323770499911620 × 10−6 | 1.813435301914099 × 10−7 | 8.806213628229532 × 10−9 | | 0.8 | 1.495255806774449 × 10−4 | 1.076366474421812 × 10−5 | 6.801776242977975 × 10−7 | 3.825609466794668 × 10−8 | | 0.9 | 3.703308743231145 × 10−4 | 3.0346063333097793 × 10−5 | 2.182892321184059 × 10−6 | 6.832640131214322 × 10−7 | | 1.0 | 8.335326149365687 × 10−4 | 7.669521633561604 × 10−5 | 6.194859624193012 × 10−6 | 4.453595572610698 × 10−7 |
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