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Reduced Polynomials and Their Generation in Adomian Decomposition Methods

Jun-Sheng Duan1, Ai-Ping Guo2

College of Science, Shanghai Institute of Technology, Shanghai, 201418, PR China. Corresponding author. E-mail: duanjssdu@sina.com
School of Mathematics, Baotou Teachers College, Baotou, 014030, PR China.

Computer Modeling in Engineering & Sciences 2010, 60(2), 139-150. https://doi.org/10.3970/cmes.2010.060.139

Abstract

Adomian polynomials are constituted of reduced polynomials and derivatives of nonlinear operator. The reduced polynomials are independent of the form of the nonlinear operator. A recursive algorithm of the reduced polynomials is discovered and its symbolic implementation by the software Mathematica is given. As a result, a new and convenient algorithm for the Adomian polynomials is obtained.

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Duan, J., Guo, A. (2010). Reduced Polynomials and Their Generation in Adomian Decomposition Methods. CMES-Computer Modeling in Engineering & Sciences, 60(2), 139–150.



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