Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems

Table 1

Comparison of maximum absolute errors for Example 1.

	16	32	64	128	256	512
Present method
	3.2593e − 03	3.2354e − 04	1.4027e − 05	3.5305e − 07	5.5660e − 09	7.8408e − 11
	5.2735e − 03	1.2840e − 03	5.1993e − 04	9.2506e − 05	1.1128e − 05	8.4250e − 07
	6.8477e − 03	1.5913e − 03	3.7413e − 04	1.1250e − 04	4.4767e − 05	9.6625e − 06
	7.1858e − 03	1.7060e − 03	4.1918e − 04	1.0273e − 04	2.4288e − 05	8.5800e − 06
	7.2686e − 03	1.7292e − 03	4.2747e − 04	1.0638e − 04	2.6433e − 05	6.4898e − 06
	7.2868e − 03	1.7347e − 03	4.2920e − 04	1.0700e − 04	2.6715e − 05	6.6661e − 06
	7.2912e − 03	1.7360e − 03	4.2962e − 04	1.0714e − 04	2.6764e − 05	6.6884e − 06
Results in [9]
	1.77e − 01	1.02e − 01	6.00e − 02	4.06e − 02	3.10e − 02	2.64e − 02
	1.49e − 01	5.00e − 02	2.55e − 02	1.44e − 02	8.64e − 03	5.46e − 03
	1.93e − 01	4.80e − 02	1.06e − 02	4.65e − 03	2.34e − 03	1.30e − 03
	2.05e − 01	5.44e − 02	1.32e − 02	3.02e − 03	8.48e − 04	3.72e − 04
	2.08e − 01	5.61e − 02	1.41e − 02	3.46e − 03	8.19e − 04	1.82e − 04
	2.09e − 01	5.66e − 02	1.44e − 02	3.58e − 03	8.84e − 04	2.14e − 04
	2.09e − 01	5.67e − 02	1.44e − 02	3.61e − 03	9.00e − 04	2.23e − 04