Research Article

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

Table 4

The absolute error in ATDM and HAM for Example 4 at ν = 1.

τReal part [ATDM] Abs. errorImg. part [ATDM] Abs. errorReal part [HAM] Abs. errorImg. part [HAM] Abs. error

0.23.794707603699265 × 10−161.463672932855431 × 10−173.794707603699265 × 10−161.463672932855431 × 10−17
0.41.548127132131732 × 10−121.191737680761306 × 10−131.548127132131732 × 10−121.191737680761306 × 10−13
0.61.994952888051838 × 10−102.305647122877174 × 10−111.994952888051838 × 10−102.305647122877174 × 10−11
0.86.238188888683330 × 10−99.625127946185849 × 10−106.238188888683330 × 10−99.625127946185849 × 10−10
1.08.967831111224030 × 10−81.732387384885186 × 10−88.967831111224030 × 10−81.732387384885186 × 10−8