Application of Optimal HAM for Finding Feedback Control of Optimal Control Problems

Table 5

The absolute error of approximate solution and exact solution of 𝑘(𝑡) by 20th-order approximate.

𝑡	𝑐0=−0.8296,; 𝑐1=𝑐2=0	𝑐0=−1,; 𝑐1=𝑐2=0	𝑐0= −1.0012,𝑐1=𝑐2=0.0398	𝑐0=−0.6932,𝑐1=−0.2440, and 𝑐2=−0.1039
0	2.3195𝑒−006	6.8965𝑒−005	3.0012𝑒−006	8.5935𝑒−006
0.2	1.2977𝑒−008	7.0978𝑒−007	2.3265𝑒−008	1.0202𝑒−007
0.4	2.2350𝑒−010	1.8553𝑒−009	3.4065𝑒−010	1.1207𝑒−009
0.6	4.3885𝑒−013	4.0035𝑒−013	1.0039𝑒−013	1.1423𝑒−013
0.8	1.9864𝑒−016	0	0	0
1.0	0	3.3307𝑒−016	0	0