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

Table 4

The maximum point-wise error comparison for Example 2 where and different values of .

Current method
	5.6694e − 4	1.2149e − 4	2.0567e − 5	4.4090e − 6	1.0542e − 6	2.6087e − 7
	6.2817e − 4	1.7672e − 4	4.4084e − 5	8.9154e − 6	1.4965e − 6	3.1840e − 7
	6.2830e − 4	1.7885e − 4	4.8772e − 5	1.2808e − 5	3.0604e − 6	6.0369e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3821e − 6	8.6187e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3829e − 6	8.7217e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3829e − 6	8.7217e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3829e − 6	8.7217e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3829e − 6	8.7217e − 7
	6.2830e − 4	1.7885e − 4	4.8782e − 5	1.2962e − 5	3.3829e − 6	8.7217e − 7
Method in [6]
	2.9748 − 2	1.4647 − 2	8.4430 − 3	9.1708 − 3	9.3305 − 3	9.1833 − 3
	3.5638 − 2	1.3000–2	9.3378 − 3	8.4218 − 3	8.3579 − 3	8.7259 − 3
	5.1972 − 2	1.4234 − 2	8.3305 − 3	7.9579 − 3	8.1124 − 3	8.0812 − 3
	6.7088 − 2	2.3185 − 2	8.2129 − 3	7.6243 − 3	7.9618 − 3	8.0662 − 3
	7.3818 − 2	3.4126 − 2	1.5756 − 2	9.1052 − 3	8.4470 − 3	8.3314 − 3
	7.3819 − 2	3.4128 − 2	1.5761 − 2	9.1078 − 3	8.4491 − 3	8.3337 − 3
	7.3819 − 2	3.4129 − 2	1.5763 − 2	9.1084 − 3	8.4496 − 3	8.3343 − 3
	7.3819 − 2	3.4129 − 2	1.5763 − 2	9.1086 − 3	8.4497 − 3	8.3344 − 3
	7.3819 − 2	3.4129 − 2	1.5763 − 2	9.1086 − 3	8.4498 − 3	8.3345 − 3