Theory and Modern Applications
Table 1 Numerical results of the Riccati equation in problem 1
From: Fractional-order Riccati differential equation: Analytical approximation and numerical results
t | GEM α = 1 | LAPM α = 1 | Exact solution | Absolute error |
|---|---|---|---|---|
y(t) | y(t) | y(t) | ||
0.1 | 0.1000000000 | 0.1102952044 | 0.1102951969 | 7.5 × 10−9 |
0.2 | 0.2419000000 | 0.2419783394 | 0.2419767996 | 1.5 × 10−6 |
0.3 | 0.3580039000 | 0.3951442714 | 0.3951048487 | 0.00003942275 |
0.4 | 0.5167880007 | 0.5682377001 | 0.5678121663 | 0.00042553377 |
0.5 | 0.6934386 | 0.7588607194 | 0.7580143934 | 0.00084632599 |