On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method

Table 3

Comparison between the computed values of the skin friction 𝑓′′(0) for the Homann flow (𝛽=2,𝛽₁=1).

iter.	𝑓^′′(0)	Error
	SHAM
1	1.335633919867798255673072885920	0.023696225987993120191426715220
10	1.311933330446726656235176983180	0.000004363433078479246469187519
20	1.311937690198936556741381203220	0.000000003680868578740264967481
30	1.311937693875056506843830283790	0.000000000004748628637815886910
40	1.311937693879797836016540925840	0.000000000000007299465105244860
50	1.311937693879805123127203300860	0.000000000000000012354442869842
60	1.311937693879805135459418974120	0.000000000000000000022227196583
70	1.311937693879805135481601938190	0.000000000000000000000044232511
	Scheme-0
1	1.3356339198662404626942038769	0.0236962259864353272125577062
2	1.3121878643609977795027970207	0.0002501704811926440211508500
3	1.3119377351892323008775816635	0.0000000413094271653959354928
4	1.3119376938798066169255039256	0.0000000000000014814438577549
5	1.3119376938798051354816461707	0.0000000000000000000000000000
	Scheme-1
1	1.3064680181439000004910779728	0.0054696757359051349905681979
2	1.3119375731135522096139489286	0.0000001207662529258676972421
3	1.3119376938798051354785690801	0.0000000000000000000030770906
4	1.3119376938798051354816461707	0.0000000000000000000000000000
	Scheme-2
1	1.3136564701352183697646278650	0.0017187762554132342829816943
2	1.3119376938938730064725895040	0.0000000000140678709909433333
3	1.3119376938798051354816461707	0.0000000000000000000000000000
[29]: 1.3119376938798051354816461707 (104 iterations)