Skip to main content

Advertisement

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