Research Article

A Highly Accurate Technique to Obtain Exact Solutions to Time-Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential

Table 8

The recurrence error of the 5th approximate solution of the imaginary part in Example 2.

τν = 0.7ν = 0.8ν = 0.9ν = 1.0

0.11.926007539341256 × 10−121.922465206587756 × 10−141.815440978456445 × 10−161.627499919875739 × 10−18
0.23.212183277944602 × 10−106.217126403566797 × 10−121.123792369482977 × 10−131.922772907632402 × 10−15
0.36.577805665150846 × 10−91.892287752233342 × 10−105.028971037475495 × 10−121.256513068851356 × 10−13
0.45.664659911177431 × 10−82.169068535347471 × 10−97.610081091968145 × 10−112.493643660279493 × 10−12
0.53.026797519340784 × 10−71.450910885437432 × 10−86.332736016444167 × 10−102.566730381652197 × 10−11
0.61.194404986717049 × 10−66.891376017773192 × 10−83.602715131890486 × 10−91.740543007331589 × 10−10
0.73.821136878718447 × 10−62.581914817482758 × 10−71.574595275095308 × 10−88.837938438846447 × 10−10
0.81.0480156108100884 × 10−58.126788825165077 × 10−75.66988415843565 × 10−83.628126275591497 × 10−9
0.92.5548636246620873 × 10−52.238467006737139 × 10−61.759964515566688 × 10−71.265411208128710 × 10−8
1.05.674529965660330 × 10−55.548386062052328 × 10−64.85763358662764 × 10−73.879371899481992 × 10−8