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2012•Mathematical and Computational ApplicationsOpen access

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

Nurettin Doğan

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Adomian decomposition method, Laplace transform, Laplace transform applied to differential equations, Mathematics, Mathematical analysis, Decomposition, Decomposition method (queueing theory), Runge–Kutta methods

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