Theory and Modern Applications
Table 1 Comparison of IRKHSM solution with other methods for Example 5.1 ( \(\pmb{\alpha=1}\) )
From: On solutions of fractional Riccati differential equations
\(\boldsymbol{\eta_{i}}\) | Exact Sol. | IRKHSM | Method in [ 5 ] | Method in [ 16 ] | MHPM [ 3 ] |
|---|---|---|---|---|---|
0.2 | 0.197375 | 0.197375 | 0.19738 | 0.197375 | 0.197375 |
0.4 | 0.379949 | 0.379949 | 0.379956 | 0.379948 | 0.379944 |
0.6 | 0.537049 | 0.537049 | 0.537061 | 0.537049 | 0.536857 |
0.8 | 0.664037 | 0.664037 | 0.664053 | 0.664036 | 0.661706 |
1.0 | 0.761594 | 0.761614 | 0.761618 | 0.761594 | 0.746032 |