Journal of Applied Mathematics / 2013 / Article / Tab 5

Research Article

An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs

Table 5

Iterative convergence for different schemes for the critical value of for Frank-Kamenetzkii problem, .

Iter.

Critical
 0 1.96202368624769 1.96202368624769 1.96202368624769
 1 2.000319646462991.99933495330998 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
 3
 4

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