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Mathematical Problems in Engineering
Volume 2015, Article ID 196595, 12 pages
http://dx.doi.org/10.1155/2015/196595
Research Article

Two Embedded Pairs of Runge-Kutta Type Methods for Direct Solution of Special Fourth-Order Ordinary Differential Equations

1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia
2Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad, Iraq
3Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Received 14 August 2015; Revised 3 November 2015; Accepted 8 November 2015

Academic Editor: Tarek Ahmed-Ali

Copyright © 2015 Kasim Hussain et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

How to Cite this Article

Kasim Hussain, Fudziah Ismail, and Norazak Senu, “Two Embedded Pairs of Runge-Kutta Type Methods for Direct Solution of Special Fourth-Order Ordinary Differential Equations,” Mathematical Problems in Engineering, vol. 2015, Article ID 196595, 12 pages, 2015. https://doi.org/10.1155/2015/196595.