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Theory and Modern Applications

Table 8 Example 6.8

From: Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh

N

RMS error

MA error

\(\boldsymbol{O(h_{j}^{2})}\) method

\(\boldsymbol{O(h_{j}^{3})}\) method

\(\boldsymbol{O({h}^{4})}\) method

\(\mathbf{COC}\boldsymbol{^{*}}\)

8

2.8679e−03

1.8940e−05

2.5391e−06

-

16

1.1316e−03

3.3587e−06

1.6213e−07

3.9691

32

7.0535e−04

1.3791e−06

1.0187e−08

3.9923

64

6.4066e−04

1.1509e−06

6.3748e−10

3.9982