Boundary Value Problems

Table 2 Comparison of numerical values of \(g''(0)\) and \(- \theta ' ( 0 ) \) for validation of numerical codes corresponding to the different values of a when \(\theta_{r} = 2.0\), \(N _{r} = 10\), \(\varepsilon = 0.3\), \(\phi = 0.04\), and \(Ec = 0.3\)

From: Nonlinear Rosseland thermal radiation and energy dissipation effects on entropy generation in CNTs suspended nanofluids flow over a thin needle

a	Shooting Method		bvp4c
a	\(g''(0)\)	\(- \theta '(0)\)	\(g''(0)\)	\(- \theta '(0)\)
SWCNT
0.2	0.297233	1.310988	0.297243	1.310988
0.1	0.502498	2.026587	0.502496	2.026588
0.01	3.259774	9.999569	3.259778	9.999570
0.001	23.895819	56.449154	23.895820	56.449157
MWCNT
0.2	0.297359	1.309687	0.297357	1.309688
0.1	0.502686	2.019083	0.502689	2.019081
0.01	3.260616	9.876561	3.260614	9.876565
0.001	23.900446	55.257994	23.900444	55.257991

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