An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs

Table 6

Iterative convergence for different schemes for the critical value of 𝛼_𝑐 for Frank problem, 𝑁=200.

	Iter.
	𝑆0	𝑆1	𝑆2
Critical 𝛼𝑐
0	1.33333333333333	1.33333333333333	1.33333333333333
1	1.37022694167246	1.38416475416079	1.38597531980146
2	1.38643019839731	1.38630914733076	1.38629436351113
3	1.3864007758502	1.38629428714795	1.38629438822645
4	1.38629414907138	1.38629433591242	1.38629439729082
Absolute errors
0	0.0529610277866668	0.0529610277866668	0.0529610277866668
1	0.0160674194475423	0.0021296069592109	0.00031904131854454
2	0.000135837277305928	1.47862107602315𝑒−005	2.39112551980725𝑒−009
3	0.000106414730195015	7.3972053149518𝑒−008	2.71064524159925𝑒−008
4	2.12048618219995𝑒−007	2.52075842421817𝑒−008	3.61708230034452𝑒−008