Research Article
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 |
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