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Peer-Reviewed Article February 10, 2020

Application of Adomian decomposition method to nonlinear systems

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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
DOI: https://doi.org/10.1186/s13662-020-2529-y

Abstract

Abstract In this paper, we study the Adomian decomposition method (ADM for short) including its iterative scheme and convergence analysis, which is a simple and effective technique in dealing with some nonlinear problems. We take algebraic equations and fractional differential equations as applications to illustrate ADM’s efficiency.

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