On composite nonlinearities and the decomposition method (Q1822208)

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scientific article; zbMATH DE number 4001333
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On composite nonlinearities and the decomposition method
scientific article; zbMATH DE number 4001333

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    On composite nonlinearities and the decomposition method (English)
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    1986
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    It is shown that composite nonlinearities of the form \(Nx=N_ 0(N_ 1(N_ 2(...(x)...)\) appearing in nonlinear and/or stochastic differential, partial differential, or algebraic equations where the \(N_ i\) are nonlinear operators can also be handled with the first author's \(A_ n\) polynomials. Numerical examples are given.
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    decomposition method
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    Adomian polynomials
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    nonlinear operator
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    Numerical examples
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