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