Nonlinear transformation of series. II
type: Item
instance of: scholarly article
title: Nonlinear transformation of series. II
zbMATH Open document ID: 0768.40001
DOI: 10.1016/0898-1221(92)90058-P
author: G. Adomian
author: Randolph Rach
publication date: 1992-09-27T00:00:00Z
review text: The paper is closely related to a previous paper of the authors [Appl. Math. Lett. 4, No. 4, 69-71 (1991; Zbl 0742.40004)]. For \(u=\sum_{n=0}^ \infty c_ n x^ n\) the authors give in the paper cited above an analytic function \(f(u)\) which can be expressed in the form \(f(u)=\sum_{n=0}^ \infty A_ n(u_ 0,\dots,u_ n)\), where \(A_ n\) are so called Adomian polynomials. This procedure is extended here for functions of several variables. Some applications in the theory of ordinary differential equations are given.
reviewed by: Tibor Šalát
Mathematics Subject Classification ID: 40A30
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 60651
zbMATH Keywords: Adomian polynomials
zbMATH Keywords: ordinary differential equations
MaRDI profile type: Publication
cites work: Transformation of series
cites work: Generalization of Adomian polynomials to functions of several variables
full work available at URL: 0898-1221(92)90058-p
OpenAlex ID: W1994188196
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 60651