Nonpolynomial Spline Method for Singularly Perturbed Time-Dependent Parabolic Problem with Two Small Parameters

Table 3

The maximum point-wise error and rate of convergence comparison for Example 1 where and different values of .

Current method
	3.4580e − 04	9.1362e − 05	2.3475e − 05	5.9509e − 06	1.4982e − 06
	1.9203	1.9605	1.9799	1.9899
	2.4484e − 04	6.3016e − 05	1.6166e − 05	4.1052e − 06	1.0353e − 06
	1.9580	1.9628	1.9774	1.9874
	2.8997e − 04	7.5915e − 05	1.9432e − 05	6.3214e − 06	1.6481e − 06
	1.9334	1.9660	1.6201	1.9394
	2.8997e − 04	7.5915e − 05	1.9432e − 05	6.3296e − 06	2.1945e − 06
	1.9334	1.9660	1.6182	1.5282
	2.8997e − 04	7.5915e − 05	1.9432e − 05	6.3296e − 06	2.1945e − 06
	1.9334	1.9660	1.6182	1.5282
	2.8997e − 04	7.5915e − 05	1.9432e − 05	6.3296e − 06	2.1945e − 06
	1.9334	1.9660	1.6182	1.5282
Method in [31]
	8.6263e − 03	4.5032e − 03	2.2904e − 03	1.1463e − 03	5.7211e − 04
	0.938	0.975	0.999	1.002
	8.6658e − 03	4.4619e − 03	2.2678e − 03	1.1428e − 03	5.7361e − 04
	0.958	0.976	0.989	0.999
	8.6639e − 03	4.4600e − 03	2.2678e − 03	1.1427e − 03	5.7360e − 04
	0.958	0.976	0.989	0.999
	8.6639e − 03	4.4600e − 03	2.2678e − 03	1.1427e − 03	5.7360e − 04
	0.958	0.976	0.989	0.999
	8.6639e − 03	4.4600e − 03	2.2678e − 03	1.1427e − 03	5.7360e − 04
	0.958	0.976	0.989	0.999
	8.6639e − 03	4.4600e − 03	2.2678e − 03	1.1427e − 03	5.7360e − 04
	0.958	0.976	0.989	0.999