A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence

Table 5

Statistical analysis of results based on values of absolute error.

t	PSO				PSO-ASA
	MIN	MAX	MEAN	STD	MIN	MAX	MEAN	STD
0.1	1.0506𝐸−03	2.2340𝐸−01	9.2274𝐸−02	5.1432𝐸−02	3.1813𝐸−08	2.1601𝐸−03	9.6880𝐸−05	2.7723𝐸−04
0.2	8.0518𝐸−04	2.4845𝐸−01	1.0033𝐸−01	5.5966𝐸−02	3.4372𝐸−08	2.2102𝐸−03	9.7567𝐸−05	2.7860𝐸−04
0.3	6.7109𝐸−04	2.7628𝐸−01	1.1029𝐸−01	6.2147𝐸−02	8.3812𝐸−07	2.1940𝐸−03	1.0290𝐸−04	2.8024𝐸−04
0.4	6.3908𝐸−04	3.2281𝐸−01	1.2356𝐸−01	7.0441𝐸−02	1.2269𝐸−07	2.3203𝐸−03	1.1739𝐸−04	3.0450𝐸−04
0.5	6.7853𝐸−04	4.2304𝐸−01	1.4202𝐸−01	8.1644𝐸−02	3.0549𝐸−07	2.7264𝐸−03	1.3725𝐸−04	3.5327𝐸−04
0.6	7.7246𝐸−04	5.4096𝐸−01	1.6843𝐸−01	9.7069𝐸−02	9.4072𝐸−07	3.3844𝐸−03	1.6471𝐸−04	4.2624𝐸−04
0.7	9.0997𝐸−04	6.8783𝐸−01	2.0732𝐸−01	1.1879𝐸−01	4.7794𝐸−08	4.2143𝐸−03	2.1027𝐸−04	5.3421𝐸−04
0.8	1.0663𝐸−03	8.8150𝐸−01	2.6607𝐸−01	1.5005𝐸−01	5.0503𝐸−07	5.4046𝐸−03	2.7398𝐸−04	6.8757𝐸−04
0.9	1.2908𝐸−03	1.1516𝐸+00	3.5688𝐸−01	1.9625𝐸−01	4.0723𝐸−06	7.5318𝐸−03	3.8273𝐸−04	9.5844𝐸−04
1.0	1.9755𝐸−03	1.5506𝐸+00	5.0247𝐸−01	2.6814𝐸−01	2.9828𝐸−06	1.0874𝐸−02	5.6390𝐸−04	1.3640𝐸−03