TY - EJOU AU - Duan, Jun-Sheng AU - Guo, Ai-Ping TI - Reduced Polynomials and Their Generation in Adomian Decomposition Methods T2 - Computer Modeling in Engineering \& Sciences PY - 2010 VL - 60 IS - 2 SN - 1526-1506 AB - 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. KW - Adomian polynomials KW - Adomian decomposition method KW - Reduced polynomials KW - Mathematica KW - Nonlinear operator DO - 10.3970/cmes.2010.060.139