A uniformly valid approximation algorithm for nonlinear ordinary singular perturbation problems with boundary layer solutions

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Table 2 Numerical results of Example 1 for \(\varepsilon =0.001\)

x	UVA solution (Bender and Orszag 1978)	SCEM approximation
0.000	0.000000000000	0.000000000000
0.001	0.598340410221	0.598340410221
0.005	0.688128170215	0.688128170215
0.010	0.683196848278	0.683196848278
0.100	0.597837000755	0.597837000755
0.200	0.510825623765	0.510825623765
0.300	0.430782916092	0.430782916092
0.400	0.356674943938	0.356674943938
0.500	0.287682072451	0.287682072451
0.600	0.223143551314	0.223143551314
0.700	0.162518929497	0.162518929497
0.800	0.105360515657	0.105360515657
0.900	0.051293294387	0.051293294387
1.000	0.000000000000	0.000000000000