An algorithm for Adomian decomposition method

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摘要

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.

论文关键词：Adomian decomposition method,Adomian polynomials,Symbolic computation,Differential equations

论文评审过程：Available online 27 November 2003.

论文官网地址：https://doi.org/10.1016/j.amc.2003.10.037