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Theory and Modern Applications

Table 1 Example 6.1

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

Ramadan [ 31 ]

8

3.6416e−03

2.5016e−05

2.0053e−06

3.010 e−05

16

1.4662e−03

5.5065e−06

1.2888e−07

1.8318 e−06

32

8.1036e−04

2.2304e−06

8.1743e−09

1.1179e−07