Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model

Table 2

Comparison of the obtained results from GA-ASM for solving the nonlinear EF-DD model based on both problems of type 2.

	Problem I			Problem 2
	Exact	GA-ASM	AE	Exact	GA-ASM	AE
0	1.00000000	1.00022916	2.291613E − 04	1.00000000	0.99963919	3.60806E − 04
0.05	1.05012500	1.05035972	2.347211E − 04	1.04997917	1.04960463	3.74535E − 04
0.1	1.10100000	1.10123006	2.300602E − 04	1.09983342	1.09944214	3.91281E − 04
0.15	1.15337500	1.15357541	2.004064E − 04	1.14943813	1.14902494	4.13190E − 04
0.2	1.20800000	1.20812735	1.273485E − 4	1.19866933	1.19822683	4.42503E − 04
0.25	1.26562500	1.26561619	8.813729E − 06	1.24740396	1.24692273	4.81224E − 04
0.3	1.32700000	1.32677477	2.252260E − 04	1.29552021	1.29498952	5.30689E − 04
0.35	1.39287500	1.39234339	5.316061E − 04	1.34289781	1.34230679	5.91015E − 04
0.4	1.46400000	1.46307475	9.252507E − 04	1.38941834	1.38875787	6.60468E − 04
0.45	1.54112500	1.53973795	1.387048E − 03	1.43496553	1.43423077	7.34760E − 04
0.5	1.62500000	1.62312048	1.879521E − 03	1.47942554	1.47861923	8.06304E − 04
0.55	1.71637500	1.71402744	2.347561E − 03	1.52268723	1.52182376	8.63464E − 04
0.6	1.81600000	1.81327792	2.722078E − 03	1.56464247	1.56375263	8.89845E − 04
0.65	1.92462500	1.92169852	2.926483E − 03	1.60518641	1.60432276	8.63645E − 04
0.7	2.04300000	2.04011427	2.885735E − 03	1.64421769	1.64346056	7.57124E − 04
0.75	2.17187500	2.16933723	2.537774E − 03	1.68163876	1.68110255	5.36205E − 04
0.8	2.31200000	2.31015280	1.847204E − 03	1.71735609	1.71719584	1.60246E − 04
0.85	2.46412500	2.46330377	8.212322E − 04	1.75128041	1.75169842	4.18013E − 04
0.9	2.62900000	2.62947213	4.721265E − 04	1.78332691	1.78457923	1.25232E − 03
0.95	2.80737500	2.80925864	1.883638E − 03	1.81341550	1.81581807	2.40257E − 03
1	3.00000000	3.00316042	3.160417E − 03	1.84147098	1.84540533	3.93434E − 03