. 2021 Oct 22;11:20919. doi: 10.1038/s41598-021-00423-2

Table 3.

The comparison of results for $M o S_{2} / Si O_{2}$ -nanofluid using two methods (homotopy analysis method and the finite element method) when $M = 0.001, λ_{E} =, 0.3 h_{s} = 0.3$ and $S c = 0.3$ $\Pr = 204, h_{s} = 1.3, ϕ_{1} = 0.004, ϕ_{2} = 0.0075 .$

		Homotopy analysis method			The finite element method
		$- (Re)^{- \frac{1}{2}} C_{f}$	$- (Re)^{- \frac{1}{2}} C_{g}$	$(Re)^{- \frac{1}{2}} N u$	$- (Re)^{- \frac{1}{2}} C_{f}$	$- (Re)^{- \frac{1}{2}} C_{g}$	$(Re)^{- \frac{1}{2}} N u$
$n$	1	2.19048887	2.69435000	3.40917100	2.19048867	2.69435020	3.40917113
	2	2.26914900	2.69506080	3.40830920	2.26914914	2.69506077	3.40830920
	3	2.36832100	2.71301081	3.74498558	2.36832103	2.71301077	3.74498557