On the range of applicability of Bourret approximation
type: Item
instance of: scholarly article
title: On the range of applicability of Bourret approximation
zbMATH Open document ID: 0893.73020
DOI: 10.1016/S0307-904X(97)00012-7
author: Zdzisław Hryniewicz
published in: Applied Mathematical Modelling
publication date: 1998-08-24T00:00:00Z
review text: This paper deals with the range of validity of the approximate average solution for the simplified equation of motion. The solution is obtained by means of two different methods: Adomian's decomposition and Bourret's approximation. The formula for the error evaluation is derived and mean square convergence of the solution series is proved. Parametric study shows that Bourret's approximation may lead to quite reasonable results.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 1093057
zbMATH Keywords: stochastic waves
zbMATH Keywords: random oscillator
zbMATH Keywords: formula for error evaluation
zbMATH Keywords: mean square convergence of solution series
zbMATH Keywords: parametric study
zbMATH Keywords: Adomian's decomposition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1093057