Table 1: Comparison between (3.14), exact solution [8, 9], and other reported approximate solutions, using .

Exact [8, 9] This work (3.14) ADM [13] HPM [12] HPM [11] HAM [14] LDTM [16]

0.1 0.0959443493 0.0959443155 0.0959383534 0.0959395656 0.095948026 0.0959446190 0.0959443520
0.2 0.1921287477 0.1921286848 0.1921180592 0.1921193244 0.192135797 0.1921292845 0.1921287539
0.3 0.2887944009 0.2887943176 0.2887803297 0.2887806940 0.288804238 0.2887952148 0.2887944107
0.4 0.3861848464 0.3861847539 0.3861687095 0.3861675428 0.386196642 0.3861859313 0.3861848612
0.5 0.4845471647 0.4845470753 0.4845302901 0.4845274183 0.4845599 0.4845485110 0.4845471832
0.6 0.5841332484 0.5841331729 0.5841169798 0.5841127822 0.584145785 0.58413482220.5841332650
0.7 0.6852011483 0.6852010943 0.6851868451 0.6851822495 0.685212297 0.68520286040.6852011675
0.8 0.7880165227 0.7880164925 0.7880055691 0.7880018367 0.788025104 0.7880181729 0.7880165463
0.9 0.8928542161 0.8928542059 0.8928480234 0.8928462193 0.892859085 0.8928553997 0.8928542363

Order 2 6 22 6 3
A.A.R.E.