Research Article

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

Table 5

The recurrence error of the 5th approximate solution of the real part in Example 1.

τν = 0.7ν = 0.8ν = 0.9ν = 1.0

0.11.9863230258832510 × 10−112.480476538225475 × 10−132.754480547804426 × 10−152.753540058639898 × 10−17
0.22.5462310564404910 × 10−96.356503419032404 × 10−111.41126628375623 × 10−122.820907153618413 × 10−14
0.34.3559264601363860 × 10−81.630598080005387 × 10−95.428928326273314 × 10−111.6274165548755540 × 10−12
0.43.2669475564040040 × 10−71.630154704745158 × 10−87.234972435809250 × 10−102.8912347348589850 × 10−11
0.51.5594317330665020 × 10−69.724388066839424 × 10−85.393791208135125 × 10−92.6938949149435820 × 10−10
0.65.5932228619978110 × 10−64.184575219876433 × 10−72.784754999984136 × 10−81.6687458133498650 × 10−9
0.71.6470066797307933 × 10−51.437319768581204 × 10−61.115745763781643 × 10−77.7992900939752010 × 10−9
0.84.1978532985731196 × 10−54.186076646645796 × 10−63.713180897405904 × 10−72.9660020264616400 × 10−8
0.99.5822726035593689 × 10−51.0748242434163506 × 10−61.072429735204339 × 10−69.6359264875560130 × 10−8
1.02.0050812724929500 × 10−42.4986212656296714 × 10−52.769704199336456 × 10−62.7648088107301450 × 10−7