Boundary Value Problems

Table 1 The effect of the magnetic field parameter Ha_xon f"(0), θ' (0) and ϕ'(0) when Gr_x= 0.5, Gc_x= 2, D_f= 0.2, and Sr = 0.3

From: On cross-diffusion effects on flow over a vertical surface using a linearization method

			ξ= 0.005			ξ= 0.01
		SLM results		LNS Method	SLM results		LNS Method
Profile	Ha _x	M ₂ = 2	M ₂ = 3		M ₂ = 2	M ₂ = 3
	0.0	3.045324	3.045324	3.045324	3.045324	3.045324	3.045324
	0.5	2.299370	2.299370	2.299370	2.299370	2.299370	2.299370
f"(0)	1.0	1.940291	1.940291	1.940291	1.940291	1.940291	1.940291
	2.0	1.532041	1.532041	1.532041	1.532041	1.532041	1.532041
	2.5	1.404033	1.404033	1.404033	1.404033	1.404033	1.404033
	0.0	0.513493	0.513493	0.513493	0.513493	0.513493	0.513493
	0.5	0.435640	0.435640	0.435640	0.435640	0.435640	0.435640
-θ'(0)	1.0	0.392869	0.392869	0.392869	0.392869	0.392869	0.392869
	2.0	0.335307	0.335307	0.335307	0.335307	0.335307	0.335307
	2.5	0.314405	0.314405	0.314405	0.314405	0.314405	0.314405
	0.0	0.289548	0.289548	0.289548	0.289548	0.289548	0.289548
	0.5	0.231673	0.231673	0.231673	0.231673	0.231673	0.231673
-ϕ'(0)	1.0	0.202778	0.202778	0.202778	0.202778	0.202778	0.202778
	2.0	0.169217	0.169217	0.169217	0.169217	0.169217	0.169217
	2.5	0.157771	0.157771	0.157771	0.157771	0.157771	0.157771

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