An Embedded Explicit Hybrid Method for Ordinary Differential Equations
F. Samat and F. Ismail
DOI : 10.3844/jmssp.2012.32.36
Journal of Mathematics and Statistics
Volume 8, Issue 1
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).
© 2012 F. Samat and F. Ismail. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.