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Theory and Modern Applications

Table 5 Example 6.5

From: Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh

N

RMS error

 

RE error

\(\boldsymbol{O(h_{j}^{2})}\) method

\(\boldsymbol{O(h_{j}^{3})}\) method

x

\(\boldsymbol{O({h}^{4})}\) method

Fazhan et al. [ 34 ]

40

9.6364e−02

8.3838e−03

0.40

2.9483e−05

7.5000e−04

80

6.8221e−02

5.9544e−03

0.56

2.9671e−05

7.5000e−04

160

4.8385e−02

4.2234e−03

0.72

2.9898e−05

7.2000e−04