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Solution of Differential Equations by Three Semi-Analytical Techniques

Opanuga, A. A. and Agboola, O.O. and Okagbue, H. I. and Oghonyon, J. G. (2015) Solution of Differential Equations by Three Semi-Analytical Techniques. International Journal of Applied Engineering Research, 10 (18). pp. 39168-39174. ISSN 0973-4562

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Abstract

In this work, we present some semi-analytical techniques namely Differential Transform Method (DTM), Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM) for the solution of differential equations. The equations considered include initial value problems and boundary value problems. The results indicated that DTM is easy to apply but requires transformation, while ADM does not need any transformation except the calculation of Adomian polynomials. In addition, it was demonstrated that HPM involves perturbation and more computations. The results obtained converged rapidly to the exact solution.

Item Type: Article
Uncontrolled Keywords: Differential Equations, Adomian Decomposition Method, Differential Transform Method, Homotopy Perturbation Method, Series Solution
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculty of Law, Arts and Social Sciences > School of Social Sciences
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 21 Dec 2015 10:36
Last Modified: 02 Dec 2016 11:13
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5749

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