Research Article | OPEN ACCESS
Application of Order Nine Block Method for Solving Second Order Ordinary Differential Equations Directly
J.O. Kuboye and Zurni Omar
Department of Mathematics, School of Quantitative Sciences, College of Art and Sciences,
Universiti Utara Malaysia, Malaysia
Research Journal of Applied Sciences, Engineering and Technology 2015 1:19-26
Received: December 10, 2014 | Accepted: January 27, 2015 | Published: September 05, 2015
Abstract
In this study, a new block method of order nine is proposed to solve second order initial value problems of ordinary differential equations directly. The method is developed via interpolation and collocation approach where the use of power series approximate solution as a basis function is considered. The properties of the developed block method which includes zero-stability, order, consistency and convergence are also established. The numerical results reveal that the new method performs better than the existing method when applied for solving second order ordinary differential equations.
Keywords:
Block method, collocation, interpolation, initial value problems, ordinary differential equations,
References
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CrossRef
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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