On the solution of singular initial value problems in ordinary differential equations using a new third order inverse Runge-Kutta method

G. U. Agbeboh; B. Omonkaro

doi:10.5897/IJPS.9000415

International Journal of
Physical Sciences

Abbreviation: Int. J. Phys. Sci.
Language: English
ISSN: 1992-1950
DOI: 10.5897/IJPS
Start Year: 2006
Published Articles: 2572

Full Length Research Paper

On the solution of singular initial value problems in ordinary differential equations using a new third order inverse Runge-Kutta method

G. U. Agbeboh* and B. Omonkaro

Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
Email: [email protected]

Article Number - BB5AEEA24771
Vol.5(4), pp. 299-307 , April 2010
https://doi.org/10.5897/IJPS.9000415

Accepted: 30 December 2009
Published: 30 April 2010

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

A new third order rational Runge-Kutta formula is derived and implemented. Results obtained are compared with the existing formulae to determine the level of its performance, consistency and accuracy. It was discovered from the computation carried out that errors are minimized while using the new scheme.

Key words: Inverse Runge-Kutta method, rational mesh size, rate of convergence, consistence computer time and error analysis.

This article is published under the terms of the Creative Commons Attribution License 4.0

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International Journal of Physical Sciences

On the solution of singular initial value problems in ordinary differential equations using a new third order inverse Runge-Kutta method

G. U. Agbeboh* and B. Omonkaro

International Journal of
Physical Sciences