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Theory and Modern Applications

Table 7 Example 6.7

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

3.4729e−04

1.0887e−05

2.4630e−05

-

16

2.3177e−05

2.9061e−06

1.8929e−06

3.7017

32

3.8023e−05

1.4735e−06

1.3820e−07

3.7757

64

4.1196e−05

1.2815e−06

9.9099e−09

3.8018