Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow

Table 1

Comparison of SLLM solutions for 𝑓^′′(0) against those of Kuiken [8] for different values of Pr when 𝑁=50.

Pr	𝛾	𝜆	Basic SLLM		𝜔	SLLM with SOR (𝜔)		Reference [8]
			Iter.	𝑓^′′(0)		Iter.	𝑓^′′(0)
0.001	40	0.1	39	1.12313813	0.85	19	1.12313813	1.12313813
0.01	50	0.1	43	1.06338086	0.90	19	1.06338086	1.06338086
0.1	30	0.1	37	0.92408304	0.85	19	0.92408304	0.92408304
1	10	0.1	25	0.69321163	0.90	13	0.69321163	0.69321163
10	5	1	36	0.44711652	0.85	13	0.44711652	0.44711652
100	5	1	46	0.26452354	0.85	14	0.26452354	0.26452354
1000	5	1	49	0.15129020	0.85	15	0.15129020	0.15129020
10000	5	1	50	0.08554085	0.85	16	0.08554085	0.08554085