Mathematical Problems in Engineering

Research Article

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

Table 4

Comparison between the errors of the order [ 𝑚 , 𝑛 ] IHAM results against the HAM results reported in [14] for R e = 1 1 0 and 𝛼 = 3 .
𝑦 HAM [14] [ 3 , 2 ] [ 3 , 3 ] [ 3 , 4 ]
00.0000000000 0.0000000000 0.0000000000 0.0000000000
0.1 0.0000000003 0.0000000006 0.0000000000 0.0000000000
0.2 0.0000000014 0.0000000017 0.0000000000 0.0000000000
0.3 0.0000000021 0.0000000018 0.0000000000 0.0000000000
0.4 0.0000000006 0.0000000001 0.0000000001 0.0000000000
0.5 0.0000000112 0.0000000029 0.0000000000 0.0000000000
0.6 0.0000000271 0.0000000058 0.0000000001 0.0000000000
0.7 0.0000000269 0.0000000072 0.0000000000 0.0000000000
0.8 0.0000000284 0.0000000067 0.0000000000 0.0000000000
0.9 0.0000001923 0.0000000041 0.0000000000 0.0000000000
1 0.0000004700 0.0000000000 0.0000000000 0.0000000000