A Note on Improved Homotopy Analysis Method for Solving the Jeffery-Hamel Flow

Table 3

Comparison between the numerical results and the order [𝑚,𝑛] IHAM approximate results (using ℏ=−1) for 𝑓(𝑦) against the HAM results reported in [14] when Re=110, 𝛼=3.

𝑦	HAM [14]	[3,2]	[3,3]	[3,4]	Numerical
0	1.0000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000
0.1	0.9792357062	0.9792357059	0.9792357065	0.9792357065	0.9792357065
0.2	0.9192658842	0.9192658839	0.9192658856	0.9192658856	0.9192658856
0.3	0.8265336102	0.8265336105	0.8265336123	0.8265336123	0.8265336123
0.4	0.7102211838	0.7102211831	0.7102211833	0.7102211832	0.7102211832
0.5	0.5804994700	0.5804994617	0.5804994588	0.5804994588	0.5804994588
0.6	0.4469350941	0.4469350728	0.4469350671	0.4469350670	0.4469350670
0.7	0.3174084545	0.3174084348	0.3174084276	0.3174084276	0.3174084276
0.8	0.1976410661	0.1976411012	0.1976410945	0.1976410945	0.1976410945
0.9	0.0912302288	0.0912304252	0.0912304211	0.0912304211	0.0912304211
1	0.0000004700	0.0000000000	0.0000000000	0.0000000000	0.0000000000