Adomian Decomposition Method for Solving Abelian Differential Equations


	Journal of Applied Sciences
	Year: 2008 \| Volume: 8 \| Issue: 10 \| Page No.: 1962-1966 DOI: 10.3923/jas.2008.1962.1966

Adomian Decomposition Method for Solving Abelian Differential Equations

Omar K. Jaradat

Abstract: In this study, we implement a relatively new analytical technique, the Adomian Decomposition Method (ADM), for solving Abelian differential equations. The analytical and numerical results of the equations have been obtained in terms of convergent series with easily computable components. The method is applied to solve two problems. The current results are compared with these derived from the established Runge-Kutta method in order to verify the accuracy of the ADM. It is shown that there is excellent agreement between the two sets of results. This finding confirms that the ADM is powerful and efficient tool for solving Abelian differential equations.

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How to cite this article:

Omar K. Jaradat , 2008. Adomian Decomposition Method for Solving Abelian Differential Equations. Journal of Applied Sciences, 8: 1962-1966.

DOI: 10.3923/jas.2008.1962.1966

URL: https://scialert.net/abstract/?doi=jas.2008.1962.1966

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