A Particle Swarm Optimization-Based Method for Numerically Solving Ordinary Differential Equations

Table 3

The optimized points and the absolute errors.

		The present results		[34]	[35]
0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
0.1149	0.1285	0.1277	0.0008	0.0000	0.0016
0.2316	0.2881	0.2865	0.0017	0.0005	0.0075
0.3408	0.4634	0.4612	0.0022	0.0016	0.0185
0.4552	0.6701	0.6677	0.0024	0.0023	0.0370
0.5660	0.8859	0.8837	0.0022	0.0003	0.0627
0.6790	1.1114	1.1097	0.0017	0.0106	0.0963
0.7910	1.3294	1.3282	0.0012	0.0326	0.1354
0.8989	1.5249	1.5239	0.0010	0.0670	0.1761
1.0072	1.7004	1.6993	0.0011	0.1140	0.2173
1.1091	1.8431	1.8417	0.0014	0.1659	0.2536
1.2136	1.9660	1.9643	0.0018	0.2210	0.2866
1.3113	2.0607	2.0587	0.0020	0.2675	0.3122
1.4064	2.1359	2.1338	0.0021	0.3012	0.3316
1.4967	2.1938	2.1916	0.0022	0.3167	0.3446
1.5820	2.2381	2.2360	0.0021	0.3119	0.3521
1.6680	2.2742	2.2723	0.0020	0.2840	0.3551
1.7498	2.3020	2.3002	0.0018	0.2329	0.3537
1.8369	2.3257	2.3241	0.0016	0.1497	0.3481
1.9208	2.3439	2.3425	0.0015	0.0400	0.3387
2.0000	2.3578	2.3565	0.0013	0.0911	0.3265