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

Nurettin Doğan

doi:10.3390/mca17030203

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Article

1 December 2012

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

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

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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

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