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
0.0846732692
0.08466308972
0.2
0.1701713582
0.1701704581
0.169430700
0.1696207644
0.170697546
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
0.3472715981
0.3472303763
0.5
0.4405998351
0.4405989511
0.439401985
0.4394422743
0.44157274
0.4406610140
0.4406093753
0.6
0.5385343980
0.5385339413
0.537365700
0.5373300622
0.539498234
0.5386072529
0.5385460046
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
2
2
6
3
A.A.R.E.
0.002714577
0.002320107
0.002044737
0.019244326