On composite nonlinearities and the decomposition method
type: Item
instance of: scholarly article
title: On composite nonlinearities and the decomposition method
zbMATH Open document ID: 0617.65046
DOI: 10.1016/0022-247X(86)90321-5
author: G. Adomian
author: Randolph Rach
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: 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.
reviewed by: S.Filippi
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 93E25
zbMATH DE Number: 4001333
zbMATH Keywords: decomposition method
zbMATH Keywords: Adomian polynomials
zbMATH Keywords: nonlinear operator
zbMATH Keywords: Numerical examples
MaRDI profile type: Publication
cites work: Inversion of nonlinear stochastic operators
cites work: Q3749865
description: scientific article; zbMATH DE number 4001333