Numerical analysis of the quasiperiodic solutions to Duffing type equations
type: Item
instance of: scholarly article
title: Numerical analysis of the quasiperiodic solutions to Duffing type equations
zbMATH Open document ID: 0807.65076
DOI: 10.1007/BF03167280
author: Atsuhito Kohda
author: Yoshitane Shinohara
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1995-02-28T00:00:00Z
review text: This paper deals with the numerical analysis of quasiperiodic Duffing type equations. Using an extended Urabe existence theorem, the authors are able to verify the existence of an exact solution and to give an error bound of the approximate solution. A connection to the Galerkin approximation method is also described. Numerical examples for Duffing type equations are given.
reviewed by: Z.Schneider
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B30
zbMATH DE Number: 597555
zbMATH Keywords: quasiperiodic solutions
zbMATH Keywords: Galerkin method
zbMATH Keywords: numerical examples
zbMATH Keywords: quasiperiodic Duffing type equations
zbMATH Keywords: error bound
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 597555