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

Table 6

Maximum absolute errors obtained by different methods in Example 4.

Methods	𝑁=8	𝑁=16	𝑁=32	𝑁=64	𝑁=128
Quadratic spline method [14]	7.70𝐸−04	1.93𝐸−04	4.83𝐸−05	1.21𝐸−05	3.02𝐸−06
Cubic spline method [14]	7.13𝐸−04	1.78𝐸−04	4.45𝐸−05	1.11𝐸−05	2.78𝐸−06
Nonpolynomial spline method [14]	1.75𝐸−04	2.16𝐸−05	2.68𝐸−06	3.33𝐸−07	4.15𝐸−08
Polynomial spline approach [13]	2.68𝐸−05	4.53𝐸−07	8.42𝐸−09	2.21𝐸−10	6.41𝐸−12
Present approach	1.53𝐸−07	9.35𝐸−09	6.11𝐸−10	3.00𝐸−11	9.99𝐸−13