Research Article
A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
Table 6
The recurrence error of the 5th approximate solution of the imaginary part in Example
1.
| | τ | ν = 0.7 | ν = 0.8 | ν = 0.9 | ν = 1.0 |
| | 0.1 | 5.729282854280857 × 10−14 | 5.566602532673186 × 10−15 | 9.391428658269753 × 10−17 | 1.127083924407682 × 10−18 | | 0.2 | 6.735588070529998 × 10−13 | 1.29434773662193 × 10−13 | 2.86554558790132 × 10−14 | 8.979209489138208 × 10−16 | | 0.3 | 2.240327760588405 × 10−9 | 2.657335380224294 × 10−11 | 3.928763432275554 × 10−13 | 3.7004114535955 × 10−14 | | 0.4 | 2.415220588436187 × 10−8 | 5.443488739768476 × 10−10 | 3.891048192098205 × 10−12 | 3.947468488238387 × 10−13 | | 0.5 | 1.477344106931362 × 10−7 | 4.825025026815447 × 10−9 | 9.526894455781187 × 10−11 | 1.232929037808270 × 10−12 | | 0.6 | 6.392078149330569 × 10−7 | 2.727397229393246 × 10−8 | 8.267292729705227 × 10−10 | 7.495149197961302 × 10−12 | | 0.7 | 2.187803743850105 × 10−6 | 1.152748324472957 × 10−7 | 4.630213360876863 × 10−9 | 1.0569208657930970 × 10−10 | | 0.8 | 6.320873774992085 × 10−6 | 3.96750649205628 × 10−7 | 1.972744306783386 × 10−8 | 6.7041439426968450 × 10−10 | | 0.9 | 1.606257206934282 × 10−5 | 1.171284786793358 × 10−6 | 6.92782295622906 × 10−8 | 3.0494721017930660 × 10−9 | | 1.0 | 3.691229597776269 × 10−5 | 3.069260602197251 × 10−6 | 2.103049742344222 × 10−7 | 1.1247880551985750 × 10−8 |
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