TY  - JOUR
AU  - Samat, F. 
AU  - Ismail, F. 
PY  - 2011
TI  - An Embedded Explicit Hybrid Method for Ordinary Differential Equations
JF  - Journal of Mathematics and Statistics
VL  - 8
IS  - 1
DO  - 10.3844/jmssp.2012.32.36
UR  - https://thescipub.com/abstract/jmssp.2012.32.36
AB  - 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).