Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions

Table 4

Relative error between CHCM and exact values for Example 3.

𝑥	Exact solution	CHCM (60 elements)	Relative error
0.1	0.100042548871756	0.100042549016137	1.4400𝐸−10
0.2	0.110172999814179	0.110173000081150	2.6700𝐸−10
0.3	0.131412868154409	0.131412868530861	3.7600𝐸−10
0.4	0.165903899721862	0.165903900198008	4.7600𝐸−10
0.5	0.217124036179286	0.217124036742860	5.6400𝐸−10
0.6	0.290238117151979	0.290238117780922	6.2900𝐸−10
0.7	0.392618682595762	0.392618683248041	6.5200𝐸−10
0.8	0.534589391091750	0.534589391690484	5.9900𝐸−10
0.9	0.730466017481367	0.730466017892698	4.1100𝐸−10
1.0	1	1	0