3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations

Table 2

Result of the Van der Pol problem (2).

	𝜇=10^−4		𝜇=10^−6		𝜇=10^−8
ℎ	Explicit	Implicit	Explicit	Implicit	Explicit	Implicit
	max. error	max. error	max. error	max. error	max. error	max. error
0.01	1.15 𝐸−05	1.10 𝐸−05	6.22 𝐸−07	1.10 𝐸−07	5.13 𝐸−07	1.10 𝐸−09
0.005	1.10 𝐸−05	1.10 𝐸−05	1.72 𝐸−07	1.10 𝐸−07	6.48 𝐸−08	1.10 𝐸−09
0.0025	1.10 𝐸−05	1.10 𝐸−05	1.17 𝐸−07	1.10 𝐸−07	8.90 𝐸−09	1.10 𝐸−09
0.001	1.10 𝐸−05	1.10 𝐸−05	1.10 𝐸−07	1.10 𝐸−07	1.59 𝐸−09	1.10 𝐸−09
0.0005	1.10 𝐸−05	1.10 𝐸−05	1.10 𝐸−07	1.10 𝐸−07	1.16 𝐸−09	1.10 𝐸−09
0.00025	1.10 𝐸−05	1.10 𝐸−05	1.10 𝐸−07	1.10 𝐸−07	1.07 𝐸−09	1.10 𝐸−09