@article {10.3844/jmssp.2012.32.36,
article_type = {journal},
title = {An Embedded Explicit Hybrid Method for Ordinary Differential Equations},
author = {Samat, F. and Ismail, F.},
volume = {8},
year = {2011},
month = {Dec},
pages = {32-36},
doi = {10.3844/jmssp.2012.32.36},
url = {https://thescipub.com/abstract/jmssp.2012.32.36},
abstract = {Problem statement: Many differential systems that appear in practice were special second-order ordinary differential equations of the form y" = f (x, y). In the past research, there was a continuous need for methods for numerically solving these equations. Approach: This study describes the derivation and implementation of a pair of embedded explicit hybrid methods for solving non-stiff second-order ordinary differential equations y" = f (x, y). Results: It was shown that our method was more efficient than the well-known embedded pair of explicit runge-kutta-nystrom methods for solving some second-order problems. Conclusion: Our method can be considered as an alternative for the numerical solution of y" = f (x, y).},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}