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Journal of Applied Sciences
  Year: 2008 | Volume: 8 | Issue: 10 | Page No.: 1962-1966
DOI: 10.3923/jas.2008.1962.1966
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Adomian Decomposition Method for Solving Abelian Differential Equations

Omar K. Jaradat

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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  •    A Telescoping Numerical Scheme for the Solution of Retarded Delay Differential Systems
  •    A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations
  •    Evaluating the Ability of Modified Adomian Decomposition Method to Simulate the Instability of Freestanding Carbon Nanotube: Comparison with Conventional Decomposition Method
  •    Efficiency of Modified Adomian Decomposition for Simulating the Instability of Nano-electromechanical Switches: Comparison with the Conventional Decomposition Method
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






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