Research Article
A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems
Table 2
Numerical results for Problem
2.
| Step-size | Method | Maximum global error | Execution time |
| 0.2 | TRIMHLI | 3.54557E − 002 | 0.0039083 | TRIEFW | 1.01259E − 001 | 0.006824 | MEHM6 | 6.25211E − 006 | 0.0068333 |
| 0.1 | TRIMHLI | 1.45864E − 002 | 0.0084681 | TRIEFW | 2.81845E − 006 | 0.011891 | MEHM6 | 1.26995E − 007 | 0.0134972 |
| 0.05 | TRIMHLI | 3.28176E − 004 | 0.0205792 | TRIEFW | 1.56159E − 010 | 0.0262821 | MEHM6 | 1.80522E − 009 | 0.0224291 |
| 0.025 | TRIMHLI | 3.26199E − 005 | 0.0366569 | TRIEFW | 2.18646E − 012 | 0.0480142 | MEHM6 | 6.55135E − 012 | 0.0488463 |
| 0.0125 | TRIMHLI | 3.95990E − 006 | 0.0650158 | TRIEFW | 8.21140E − 013 | 0.112478 | MEHM6 | 8.42048E − 013 | 0.0919229 |
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