Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Example 6.3

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

N	RMS error			MA error
N	\(\boldsymbol{O(h_{j}^{2})}\) method	\(\boldsymbol{O(h_{j}^{3})}\) method	x	\(\boldsymbol{O({h}^{4})}\) method	Wazwaz [ 20 ]
8	2.3784e−05	1.3919e−07	0.2	5.95 e−09	1.3e−08
16	1.0736e−05	3.1300e−08	0.4	8.06 e−09	2.3e−08
32	6.2320e−06	1.2854e−08	0.6	7.26e−09	2.4e−08
64	4.2796e−06	8.0985e−09	0.8	4.34e−09	1.7e−08

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