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Math. Comput. Appl. 2012, 17(3), 203-211; doi:10.3390/mca17030203

Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method

Department of Electronics and Computer Education, Faculty of Technical Education, Gazi University, 06500, Teknikokullar, Ankara, Turkey
Published: 1 December 2012
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Abstract

In this paper, combined Laplace transform–Adomian decomposition method is presented to solve differential equations systems. Theoretical considerations are being discussed. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results obtained are in good agreement with the exact solution and Runge-Kutta method.
Keywords: Differential equations systems; Laplace transform; Adomian decomposition method Differential equations systems; Laplace transform; Adomian decomposition method
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Doğan, N. Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method. Math. Comput. Appl. 2012, 17, 203-211.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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