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

Table 2

Relative error between CHCM and exact values for Example 2.

𝑥	Exact solution	CHCM (100 elements)	Relative error
0.0	0	0	0
0.1	0.059343034025940	0.059343034024546	1.3944𝐸−12
0.2	0.110134207176555	0.110134207173893	2.6620𝐸−12
0.3	0.151024408862577	0.151024408858821	3.7560𝐸−12
0.4	0.182725813258852	0.182725813254164	4.6880𝐸−12
0.5	0.197560538965947	0.197560538960736	5.2110𝐸−12
0.6	0.196995306556119	0.196995306550776	5.3430𝐸−12
0.7	0.178732867019218	0.178732867014236	4.9820𝐸−12
0.8	0.145015397537614	0.145015397533471	4.1430𝐸−12
0.9	0.085646323767636	0.085646323765122	2.5130𝐸−12
1.0	0	0	0