Table 2: Comparison between (3.14), exact solution [8, 9], and other reported approximate solutions, using .

Exact [8] This work (3.14) ADM [13] HPM [12] HPM [11] HAM [14] LDTM [16]

0.1 0.0846612565 0.08466075858 0.084248760 0.0843817004 0.084934415 0.08467326920.08466308972
0.2 0.1701713582 0.1701704581 0.169430700 0.16962076440.170697546 0.1701954538 0.1701750442
0.3 0.2573939080 0.2573927827 0.256414500 0.2565929224 0.258133224 0.2574302342 0.2573994845
0.4 0.3472228551 0.3472217324 0.346085720 0.3462107378 0.348116627 0.34727159810.3472303763
0.5 0.4405998351 0.4405989511 0.439401985 0.4394422743 0.44157274 0.44066101400.4406093753
0.6 0.5385343980 0.5385339413 0.537365700 0.5373300622 0.539498234 0.53860725290.5385460046
0.7 0.6421286091 0.6421286573 0.641083800 0.6410104651 0.642987984 0.7526899495 0.6421421393
0.8 0.7526080939 0.7526085475 0.751788000 0.7517335467 0.753267551 0.7526899495 0.7526226886
0.9 0.8713625196 0.8713630450 0.870908700 0.8708835371 0.871733059 0.8714249118 0.8713748860

Order 2 6 22 63
A.A.R.E. 0.002714577 0.002320107 0.002044737 0.019244326