Development of a New One-Step Scheme for the Solution of Initial Value Problem (IVP) in Ordinary Differential Equations
International Journal of Theoretical and Applied Mathematics
Volume 3, Issue 2, April 2017, Pages: 58-63
Received: Oct. 27, 2016; Accepted: Jan. 16, 2017; Published: Feb. 9, 2017
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Authors
Fadugba Sunday Emmanuel, Department of Mathematics, Ekiti State University, Ado Ekiti, Nigeria
Falodun Bidemi Olumide, Department of Mathematics, University of Ilorin, Ilorin, Nigeria
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Abstract
In this paper, a new one-step scheme was developed for the solution of initial value problems of first order in ordinary differential equations. In its development a combination of interpolating function and Taylor series were used. The method was used for the solution of initial value problems emanated from real life situations. The numerical results showed that the new scheme is consistent, robust and efficient.
Keywords
Interpolating Function, Initial Value Problem, One-Step Method, Ordinary Differential Equation, Taylor Series
To cite this article
Fadugba Sunday Emmanuel, Falodun Bidemi Olumide, Development of a New One-Step Scheme for the Solution of Initial Value Problem (IVP) in Ordinary Differential Equations, International Journal of Theoretical and Applied Mathematics. Vol. 3, No. 2, 2017, pp. 58-63. doi: 10.11648/j.ijtam.20170302.12
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Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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