An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs

Table 5

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

	Iter.
	𝑆0	𝑆1	𝑆2
Critical 𝜆𝑐
0	1.96202368624769	1.96202368624769	1.96202368624769
1	2.00031964646299	1.99933495330998	1.99987632667614
2	2.00025140688174	2.00000007821613	1.99999999897116
3	2.00000003077048	2.00000000000462	1.99999999999956
4	2.00000001017936	1.99999999999926	1.99999999999949
Absolute errors
0	0.0379763137523081	0.0379763137523081	0.0379763137523081
1	0.000319646462989098	0.000665046690023985	0.000123673323863427
2	0.000251406881741634	7.82161291290606𝑒−008	1.02883590535896𝑒−009
3	3.07704830504463𝑒−008	4.6216364069096𝑒−012	4.42312853010662𝑒−013
4	1.0179361797924𝑒−008	7.41184891239755𝑒−013	5.14255305006373𝑒−013