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Abstract and Applied Analysis
Volume 2014, Article ID 867095, 13 pages
Research Article

Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly

1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
2Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
3Department of Computer Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Received 18 July 2014; Accepted 23 August 2014; Published 17 September 2014

Academic Editor: Dumitru Baleanu

Copyright © 2014 Hazizah Mohd Ijam 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.


We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coefficients that are used in the method are obtained only once at the start of the integration. Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD). The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD.