Uniformly Convergent Numerical Scheme for Singularly Perturbed Parabolic PDEs with Shift Parameters

Table 6

Example 1, comparison of uniform absolute error and uniform rate of convergence.

Schemes
		M = 120	240	480	960	1920
Proposed		2.9297e − 03	1.4758e − 03	7.4067e − 04	3.7103e − 04	1.8557e − 04
Scheme		0.9892	0.9946	0.9973	0.9987	―
Upwind in [4]		9.2021e − 03	4.9863e − 03	2.6885e − 03	1.4245e − 03	7.5403e − 04
		0.8840	0.8912	0.9163	0.9178	―
Midpoint up in [4]		6.5942e − 03	3.8199e − 03	2.1180e − 03	1.1399e − 03	6.0635e − 04
		0.7877	0.8508	0.8938	0.9107	―
B-spline		4.4966e − 03	2.4450e − 03	1.2728e − 03	6.4609e − 04	3.2774e − 04
Colloc. in [12]		0.8791	0.9418	0.9715	0.9859	―
Expo.		3.3107e − 03	1.7254e − 03	8.8049e − 04	4.4473e − 04	2.2349e − 04
Fitted in [13]		0.9402	0.9705	0.9854	0.9927	―