Research Article

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

Table 1

The absolute error in ATDM and FRDTM for Example 1 at ν = 1.

τReal part [ATDM] Abs. errorImg. part [ATDM] Abs. errorReal part [FRDTM] Abs. errorImg. part [FRTDM] Abs. error

0.202.775557561562891 × 10−1702.775557561562891 × 10−17
0.43.508304757815494 × 10−146.661338147750939 × 10−163.508304757815494 × 10−146.66133814775093 × 10−16
0.64.540257059204578 × 10−121.743050148661495 × 10−144.540257059204578 × 10−121.743050148661495 × 10−14
0.81.43222100845719 × 10−101.645683589401869 × 10−121.43222100845719 × 10−101.645683589401869 × 10−12
1.02.081645966711676 × 10−95.585931717178028 × 10−112.081645966711676 × 10−95.585931717178028 × 10−11