Reduced Polynomials and Their Generation in Adomian Decomposition Methods

Jun-Sheng Duan; Ai-Ping Guo

doi:10.3970/cmes.2010.060.139

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Abstract

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Reduced Polynomials and Their Generation in Adomian Decomposition Methods

Jun-Sheng Duan¹, Ai-Ping Guo²
1 College of Science, Shanghai Institute of Technology, Shanghai, 201418, PR China. Corresponding author. E-mail: duanjssdu@sina.com
2 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

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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.

Keywords

Adomian polynomials, Adomian decomposition method, Reduced polynomials, Mathematica, Nonlinear operator.

Cite This Article

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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