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Generalization of adomian polynomials to functions of several variables

1992; Elsevier BV; Volume: 24; Issue: 5-6 Linguagem: Inglês

10.1016/0898-1221(92)90037-i

1873-7668

G. Adomian, Randolph Rach,

Fractional Differential Equations Solutions

The solution of nonlinear differential and partial differential equations by the decomposition method due to Adomian [1–3] requires his An polynomials to represent nonlinearities. A convenient algorithm [1–3] for generation of the An for an analytic function f(u) is generalized to the case of an analytic function of several variables f(u, v, …) where f is not factorable into f1(u)f2(v)·;.