An algorithm for Adomian decomposition method

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Abstract

In this paper, a reliable technique for calculating Adomian polynomials for nonlinear operators is developed. The algorithm is fulfilled with symbolic computation, so that the Adomian decomposition methods for solving differential equations can be mechanized in Maple. Ten examples are presented to illustrate the implementation of the program. © 2003 Elsevier Inc. All rights reserved.

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Chen, W., & Lu, Z. (2004). An algorithm for Adomian decomposition method. Applied Mathematics and Computation, 159(1), 221–235. https://doi.org/10.1016/j.amc.2003.10.037

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