Table 2 Numerical association between HAM and Shooting techniques for velocity, micro-rotation, and temperature fields.

From: Impact of Cattaneo-Christov heat flux model on MHD hybrid nano-micropolar fluid flow and heat transfer with viscous and joule dissipation effects

\(\xi\)

Velocity field

Micro-rotation field

Temperature field

HAM

Shooting

HAM

Shooting

HAM

Shooting

0.0

− 7.5 × 10–19

0.000000

− 3.53 × 10–9

0.000000

− 3.97 × 10–9

0.000000

0.5

0.393940

0.397855

0.523062

0.514206

0.599470

0.599799

1.0

0.633330

0.644735

0.372430

0.364476

0.361400

0.361695

1.5

0.778692

0.797385

0.246020

0.239908

0.218506

0.218717

2.0

0.866920

0.891134

0.156424

0.152343

0.132305

0.132444

2.5

0.920454

0.948022

0.097504

0.094893

0.080171

0.080258

3.0

0.952933

0.981823

0.060101

0.058468

0.048600

0.048654

3.5

0.972663

1.001170

0.036806

0.035797

0.029468

0.029501

4.0

0.984587

1.011490

0.022453

0.021835

0.017870

0.017890

4.5

0.991836

1.016185

0.013666

0.013289

0.010837

0.010849

5.0

0.996233

1.017429

0.008306

0.008076

0.006572

0.006580

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