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Duan, J.S. and Guo, A.P. (2010) Reduced Polynomials and Their Generation in Adomian Decomposition Methods. CMES-Computer Modeling in Engineering & Sciences, 60, 139-150.

has been cited by the following article:

• TITLE: An Efficient Maple Program for Calculating Adomian Polynomials

  AUTHORS: Mariam Al-Mazmumy

  KEYWORDS: Nonlinear Operators, Adomian Polynomials, Adomian Decomposition Method, Multi-Variable Nonlinearities, Maple Package

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.4, November 3, 2023

  ABSTRACT: The immense quest for proficient numerical schemes for the solution of mathematical models featuring nonlinear differential equations led to the realization of the Adomian decomposition method (ADM) in the 80th. Undoubtedly, the solution of nonlinear differential equations using ADM is presided over by the acquisition of Adomian polynomials, which are not always easy to find. Thus, the present study proposes easy-to-implement Maple programs for the computation of Adomian polynomials. In fact, the proposed algorithms performed remarkably on several test functions, consisting of one- and multi-variable nonlinearities. Moreover, the introduced programs are advantageous in terms of simplicity; coupled with the requirement of less computational time in comparison with what is known in the literature.