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

Table 7

The absolute error of approximate solution and exact solution of 𝑓(𝑡) by 15th-order approximate.

𝑡	𝑐0=−0.44032,; 𝑐1=𝑐2=0	𝑐0=−1,; 𝑐1=𝑐2=0	𝑐0= −0.6084,  𝑐1=𝑐2=0.1611	𝑐0=−0.1836,𝑐1=−0.2070, and 𝑐2=−0.4554
0	1.6173𝑒−009	5.0401𝑒+005	6.2742𝑒−002	3.6240𝑒−001
0.2	1.2106𝑒−010	1.6493𝑒+004	2.0901𝑒−003	1.1136𝑒−002
0.4	1.1105𝑒−010	1.9738𝑒+002	9.0034𝑒−005	2.1428𝑒−002
0.6	1.0013𝑒−010	3.7288𝑒−001	1.9358𝑒−005	1.7872𝑒−002
0.8	1.7154𝑒−011	7.4725𝑒−006	6.2182𝑒−007	9.5152𝑒−007
1.0	1.3831𝑒−012	1.6595𝑒−007	2.0572𝑒−011	3.4417𝑒−015