A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems

Table 1

Numerical results for Problem 1.

Step-size	Method	Maximum global error	Execution time
0.5	TRIMHLI	1.80695E − 014	0.0033931
	TRIEFW	4.37497E − 009	0.0051322
	MEHM6	7.75494E − 014	0.0047059
0.25	TRIMHLI	4.55112E − 014	0.0067984
	TRIEFW	2.07511E − 013	0.0097257
	MEHM6	2.94982E − 013	0.0092222
0.125	TRIMHLI	9.27542E − 014	0.0122101
	TRIEFW	4.98745E − 013	0.0191737
	MEHM6	1.59362E − 013	0.015831
0.0625	TRIMHLI	2.76669E − 013	0.0271642
	TRIEFW	3.01395E − 013	0.0369165
	MEHM6	1.32373E − 012	0.0370568
0.03125	TRIMHLI	7.09740E − 013	0.0502737
	TRIEFW	1.06570E − 012	0.0799963
	MEHM6	3.52752E − 012	0.0657106