Perturbation-Iteration Method for First-Order Differential Equations and Systems

Table 1

Comparison of percentage errors of PIA(1, 2) with PIA(1, 1) and VIM for 𝜀=1.

t	% error for PIA(1,2)			% error for PIA(1,1) and VIM
	𝑢1	𝑢2	𝑢3	𝑢1	𝑢2	𝑢3
0	0.00	0.00	0.00	0.00	0.00	0.00
1	1.77	0.19	0.02	5.87	1.71	3.15
2	0.29	0.26	0.04	9.38	5.88	1.53
3	3.98	0.30	0.00	19.11	2.66	0.63
4	6.31	0.00	0.03	23.55	0.08	0.99
5	7.36	0.21	0.03	25.34	1.12	0.97
6	7.78	0.30	0.03	26.02	1.61	0.93
7	7.94	0.34	0.02	26.28	1.79	0.92
% mean error	4.55	0.20	0.02	17.86	2.58	1.40