Table 1 Absolute relative error between exact, Picard and ADM solutions of y₁

0.1

\(4.06666\times {10}^{-23}\)

\(2.06044\times {10}^{-15}\)

0.2

\(1.06605\times {10}^{-16}\)

\(8.43956\times {10}^{-12}\)

0.3

\(1.5755\times {10}^{-14}\)

\(1.095\times {10}^{-9}\)

0.4

\(2.79452\times {10}^{-12}\)

\(3.45681\times {10}^{-8}\)

0.5

\(1.55117\times {10}^{-10}\)

\(5.03017\times {10}^{-7}\)

0.6

\(4.129\times {10}^{-9}\)

\(4.48461\times {10}^{-6}\)

0.7

\(6.61776\times {10}^{-8}\)

0.0000285108

0.8

\(7.31484\times {10}^{-7}\)

0.0001415

0.9

\(6.08514\times {10}^{-6}\)

0.000581157

1

0.0000404295

0.00205527