Research Article

Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem

Table 4

Comparison and absolute error between OHAM-LS and RK4, .

OHAM-LSOHAM-LSRK4RK4Error Error

0.00.0000000.0000000.0000000.0000000.0000000.000000
1.05.847225-0.4735475.847465-0.4775470.00024-0.004
2.06.741648-0.5422756.741904-0.5425530.000256-0.000278
4.08.455454-0.5841108.457551-0.5841330.002097-2.3-05
6.08.731031-0.6152058.732010-0.6153050.000979-1-04
7.08.977101-0.6403248.977187-0.6404668.6-05-0.000142
8.09.090736-0.6612019.090838-0.6616730.000102-0.000472
10.09.303112-0.6800329.303232-0.6800660.00012-3.4-05