Fixed-Term Homotopy

Table 2

Comparison between (43), exact solution [74, 75], and other reported approximate solutions, using 𝑛=0.5.

𝑥	Exact [74, 75]	This work (43)	HPM [52]	DMA [53]	HPM [54]	HPM [55]	HAM [56]	LDTM [57]
0.1	0.0959443493	0.0959443679	0.0959443155	0.0959383534	0.0959395656	0.095948026	0.0959446190	0.0959443520
0.2	0.1921287477	0.1921287510	0.1921286848	0.1921180592	0.1921193244	0.192135797	0.1921292845	0.1921287539
0.3	0.2887944009	0.2887943893	0.2887943176	0.2887803297	0.2887806940	0.288804238	0.2887952148	0.2887944107
0.4	0.3861848464	0.3861848355	0.3861847539	0.3861687095	0.3861675428	0.386196642	0.3861859313	0.3861848612
0.5	0.4845471647	0.4845471662	0.4845470753	0.4845302901	0.4845274183	0.4845599	0.4845485110	0.4845471832
0.6	0.5841332484	0.5841332589	0.5841331729	0.5841169798	0.5841127822	0.584145785	0.5841348222	0.5841332650
0.7	0.6852011483	0.6852011536	0.6852010943	0.6851868451	0.6851822495	0.685212297	0.6852028604	0.6852011675
0.8	0.7880165227	0.7880165163	0.7880164925	0.7880055691	0.7880018367	0.788025104	0.7880181729	0.7880165463
0.9	0.8928542161	0.8928542136	0.8928542059	0.8928480234	0.8928462193	0.892859085	0.8928553997	0.8928542363
	Order	2	2	6	2	2	6	3
	A.A.R.E.	3.5462𝐸(-08)	1.83327𝐸(-07)	3.47802𝐸(-05)	3.57932𝐸(-05)	2.44418𝐸(-05)	2.51374𝐸(-06)	3.10957𝐸(-08)