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Theory and Modern Applications

Table 4 Example 6.4

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

Arshad et al. [ 33 ]

8

2.6861e−04

2.0392e−06

1.9385e−07

7.02e−06

16

9.2450e−05

4.6577e−07

1.2204e−08

4.35e−06

32

5.2686e−05

2.2137e−07

7.6317e−10

7.87e−07