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Theory and Modern Applications

Table 2 Example 6.2

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

Akram et al. [ 21 ]

Siddiqi et al. [ 32 ]

8

3.6473e−03

2.4393e−05

1.9706e−06

1.5379 e−06

8.1514e−05

16

1.4829e−03

5.3686e−06

1.2665e−07

1.9790 e−07

2.1052 e−05

32

8.2427e−04

2.1736e−06

8.0345e−09

4.0596 e−08

5.3084 e−06