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Solution Of Third Order Ordinary Differential Equations Using Differential Transform Method

Agboola, O.O. and Opanuga, A. A. and Gbadeyan, J.A. (2015) Solution Of Third Order Ordinary Differential Equations Using Differential Transform Method. Global Journal of Pure and Applied Mathematics., 11 (4). pp. 2511-2516. ISSN 0973-1768

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Abstract

In this study, a simple and Taylor series-based method known as differential transformation method (DTM) is used to solve initial-value problems involving third-order ordinary differential equations. We introduced briefly the concept of DTM and applied it to obtain the solution of three numerical examples for demonstration. The results are compared with the existing ones in literature and it is concluded that results yielded by DTM converge to the analytical solution more rapidly with few terms

Item Type: Article
Uncontrolled Keywords: Ordinary differential equations, Differential transformation method, Initial value problems (IVP)
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 23 Sep 2015 11:47
Last Modified: 23 Sep 2015 11:47
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5476

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