The Novel Rational Spectral Collocation Method for a Singularly Perturbed Reaction-Diffusion Problem with Nonsmooth Data

Table 1

Maximum pointwise errors for RSC-SSM and finite different schemes [9, 18].

	RSC-SSM	Finite difference [9]		Hybrid scheme [18]
	32	64	128	32	64	128
1e − 2	1.07e − 13	3.49e − 04	1.77e − 04
1e − 3	2.19e − 14	7.30e − 03	9.42e − 04
1e − 4	3.61e − 15	7.30e − 03	9.42e − 04
1e − 6	3.11e − 15	7.30e − 03	9.42e − 04
	6.75e − 02			1.72e − 03	8.25e − 04	4.05e − 04
	1.66e − 04			6.45e − 04	2.49e − 04	1.08e − 04
	1.00e − 13			2.69e − 03	1.73e − 03	6.89e − 04
	4.95e − 14			4.29e − 03	2.04e − 03	9.95e − 04
	1.78e − 14			7.23e − 03	2.52e − 03	1.04e − 03

References [9, 18] do not compute.