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Theory and Modern Applications

Table 6 Example 6.6

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

9.9887e−05

1.3841e−05

3.0756e−05

-

16

6.1365e−05

1.7426e−06

1.8795e−06

4.0324

32

4.3896e−05

5.1946e−07

1.1320e−07

4.0534

64

3.1303e−05

3.1459e−07

6.8994e−09

4.0362