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Theory and Modern Applications

Table 1 Approximate errors and and the computed orders of convergence on the piecewise uniform mesh for various values of and .

From: Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

2-2

0.0094302

0.0048322

0.0027402

0.0016792

0.0005534

 

1.78

1.87

1.95

1.98

2.02

2-4

0.0095503

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

2-6

0.0096054

0.0056215

0.0033157

0.0017325

0.0005988

 

1.76

1.85

1.92

1.96

1.99

2-8

0.0095502

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

2-10

0.0095502

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

2-12

0.0095502

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

2-14

0.0095502

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

2-16

0.0095502

0.0056215

0.0033157

0.0017325

0.0005988

 

1.73

1.85

1.92

1.96

1.99

     

0.0096054

0.0056215

0.0033157

0.0017325

0.0005988

1.73

1.85

1.92

1.96

1.99