Table 2.

(Numerical solution) with the bvp4c technique for motile micro-organism when $M=0.1\text{,}Nb=0.1\text{,}Nt=0.1\text{,}{\gamma }_1=\sigma =Ec=0.1\text{.}$.

$\mathit{P}\mathit{e}$	$\mathit{L}\mathit{b}$	$\mathit{\alpha }$	$\mathit{\gamma }$	$\mathit{Pr}$	${\left(\mathbf{2}\mathbf{-}\mathbf{\beta }\right)}^{\frac{\mathbf{1}}{\mathbf{2}}}\mathit{N}{\mathit{n}}_{\mathbf{x}}{\left({\mathbf{Re}}_{\mathbf{x}}\right)}^{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}$
0.1	0.1	0.5	0.4	0.1	−0.38358190
0.2					−0.39429689
0.3					−0.40922568
0.1					−0.38488239
	0.2				−0.38780926
	0.3				−0.38749174
	0.4				−0.38358190
		0.6			−0.37564859
		0.7			−0.37755263
		0.8			−0.43647104
			0.5		−0.48017213
			0.6		−0.52599424
			0.7		−0.38001530
				0.2	−0.38533070
				0.3	−0.37317462
				0.4	−0.38358190