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

Table 7

Maximum absolute errors obtained by different methods in Example 5.

Methods	𝑁=8	𝑁=16	𝑁=32	𝑁=64	𝑁=128
Quadratic spline method [14]	4.50𝐸−02	3.08𝐸−03	7.70𝐸−04	1.93𝐸−04	4.80𝐸−05
Cubic spline method [14]	1.15𝐸−02	2.88𝐸−03	7.21𝐸−04	1.80𝐸−04	4.50𝐸−05
Nonpolynomial spline method [14]	2.67𝐸−03	3.24𝐸−04	3.99𝐸−05	4.94𝐸−06	6.16𝐸−07
Polynomial spline approach [13]	2.22𝐸−04	5.05𝐸−06	1.63𝐸−07	5.58𝐸−09	1.89𝐸−10
Present approach	2.34𝐸−06	1.43𝐸−07	9.99𝐸−09	8.00𝐸−10	6.00𝐸−11