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A new algorithm for calculating Adomian polynomials. (English) Zbl 1087.65528
Summary: A new algorithm for calculating Adomian polynomials for nonlinear operators will be established by parametrization. The algorithm requires less formula than the previous method developed by G. Adomian [Nonlinear stochastic operator equations, Academic Press (1986; Zbl 0609.60072)], G. Adomian and R. Rach [J. Math. Anal. Appl. 113, 504–509 (1986; Zbl 0617.65046)], G. Adomian, Applications of nonlinear stochastic systems theory to physics, Kluwer, (1988)]. Many forms of nonlinearity will be studied to illustrate the new algorithm. The new algorithm will be extended to calculate Adomian polynomials for nonlinearity of several variables.
MSC:
65D20Computation of special functions, construction of tables