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.
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.
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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