Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Comparison of numerical results with Shishkin mesh for Example 1

From: An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

N	\(\varepsilon _{1}=10^{-8},\varepsilon _{2}=10^{-5}\)		\(\varepsilon _{1}=10^{-8}, \varepsilon _{2}=10^{-10}\)
N	Shishkin mesh	Adaptive mesh	Shishkin mesh	Adaptive mesh
32 × 3	5.30e–02	2.36e–02	2.92e–02	2.36e–02
32 × 3	0.77	0.96	0.80	0.98
64 × 3	3.10e–02	1.21e–02	1.68e–02	1.20e–02
64 × 3	0.82	0.97	0.91	0.98
128 × 3	1.76e–02	6.16e–03	8.93e–03	6.09e–03
128 × 3	0.84	0.99	0.78	0.98
256 × 3	9.83e–03	3.11e–03	5.21e–03	3.08e–03
256 × 3	0.86	0.99	0.87	0.99
512 × 3	5.43e–03	1.57e–03	2.86e–03	1.55e–03
512 × 3	0.88	0.99	0.88	0.99
1024 × 3	2.96e–03	7.87e–04	1.55e–03	7.80e–04

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