Table 3 Absolute relative error between exact, Picard and ADM solutions of y₃

0.1

\(1.32789\times {10}^{-23}\)

\(4.01786\times {10}^{-15}\)

0.2

\(3.48098\times {10}^{-18}\)

\(1.64571\times {10}^{-11}\)

0.3

\(5.14449\times {10}^{-15}\)

\(2.13521\times {10}^{-9}\)

0.4

\(9.12499\times {10}^{-13}\)

\(6.74004\times {10}^{-8}\)

0.5

\(5.06509\times {10}^{-11}\)

\(9.80474\times {10}^{-15}\)

0.6

\(1.34828\times {10}^{-9}\)

\(8.73407\times {10}^{-6}\)

0.7

\(2.16106\times {10}^{-8}\)

0.0000554211

0.8

\(2.38892\times {10}^{-7}\)

0.000273993

0.9

\(1.98767\times {10}^{-6}\)

0.00111721

1

0.0000132102

0.00390145