From: Direct application of Padé approximant for solving nonlinear differential equations
x | Exact | This work | HPM | ADM | HPM | HPM | HAM | LDTM |
---|---|---|---|---|---|---|---|---|
(20) | (Vazquez-Leal et al.2012c) | (Deeba et al.2000) | (Feng et al.2007) | (Mirmoradia et al.2009) | (Hassana and El-Tawil2011) | (Khuri2003) | ||
0.1 | 0.0959443493 | 0.0959443493 | 0.0959443155 | 0.0959383534 | 0.0959395656 | 0.095948026 | 0.0959446190 | 0.0959443520 |
0.2 | 0.1921287477 | 0.1921287477 | 0.1921286848 | 0.1921180592 | 0.1921193244 | 0.192135797 | 0.1921292845 | 0.1921287539 |
0.3 | 0.2887944009 | 0.2887944009 | 0.2887943176 | 0.2887803297 | 0.2887806940 | 0.288804238 | 0.2887952148 | 0.2887944107 |
0.4 | 0.3861848464 | 0.3861848464 | 0.3861847539 | 0.3861687095 | 0.3861675428 | 0.386196642 | 0.3861859313 | 0.3861848612 |
0.5 | 0.4845471647 | 0.4845471647 | 0.4845470753 | 0.4845302901 | 0.4845274183 | 0.4845599 | 0.4845485110 | 0.4845471832 |
0.6 | 0.5841332484 | 0.5841332484 | 0.5841331729 | 0.5841169798 | 0.5841127822 | 0.584145785 | 0.5841348222 | 0.5841332650 |
0.7 | 0.6852011483 | 0.6852011483 | 0.6852010943 | 0.6851868451 | 0.6851822495 | 0.685212297 | 0.6852028604 | 0.6852011675 |
0.8 | 0.7880165227 | 0.7880165227 | 0.7880164925 | 0.7880055691 | 0.7880018367 | 0.788025104 | 0.7880181729 | 0.7880165463 |
0.9 | 0.8928542161 | 0.8928542161 | 0.8928542059 | 0.8928480234 | 0.8928462193 | 0.892859085 | 0.8928553997 | 0.8928542363 |
Order | [12/12] | 2 | 6 | 2 | 2 | 6 | 3 | |
A.A.R.E. | 0 | 1.83327e(-07) | 3.47802e(-05) | 3.57932e(-05) | 2.44418e(-05) | 2.51374e(-06) | 3.10957e(-08) |