Boundary Layer Resolving Exact Difference Scheme for Solving Singularly Perturbed Convection-Diffusion-Reaction Equation

Table 1

Example 1, the maximum absolute error, -uniform error and -uniform rate of convergence .

On uniform mesh
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	2.8825e − 03	1.0224e − 03	4.8019e − 04	2.3423e − 04	1.1576e − 04
	1.4954	1.0903	1.0357	1.0168	—
On Shishkin mesh
	3.3989e − 03	1.7021e − 03	8.5853e − 04	4.3194e − 04	2.1685e − 04
	3.4008e − 03	1.7033e − 03	8.5927e − 04	4.3237e − 04	2.1708e − 04
	3.4009e − 03	1.7034e − 03	8.5934e − 04	4.3242e − 04	2.1711e − 04
	3.4010e − 03	1.7034e − 03	8.5935e − 04	4.3242e − 04	2.1711e − 04
	3.4010e − 03	1.7034e − 03	8.5935e − 04	4.3242e − 04	2.1711e − 04
	3.4010e − 03	1.7034e − 03	8.5935e − 04	4.3242e − 04	2.1711e − 04
	0.9975	0.9871	0.9908	0.9940	—