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Table 3 Comparison of rate of convergence for Example 1

From: Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems

ε

N = 8

N = 16

N = 32

N = 64

With Richardson extrapolation

 2−5

5.9194

5.9795

5.9898

6.0121

 2−8

5.2859

5.9017

5.9744

5.9938

 2−12

3.4332

4.2833

4.4285

5.7197

Without Richardson extrapolation

 2−5

4.0747

4.0277

4.0061

4.0011

 2−8

3.6016

3.9980

3.9989

3.9997

 2−12

1.0472

2.2541

3.4933

3.9694