A high order iterative scheme for a nonlinear Kirchhoff wave equation in the unit membrane
type: Item
instance of: scholarly article
title: A high order iterative scheme for a nonlinear Kirchhoff wave equation in the unit membrane
zbMATH Open document ID: 1242.35014
DOI: 10.1155/2011/679528
author: Le Thi Phuong Ngoc
author: Nguyen Thanh Long
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: A high-order iterative scheme is established in order to get a convergent sequence at a rate of order \(N\) \((N \geq 1)\) to a local unique weak solution of a nonlinear Kirchhoff wave equation in the unit membrane. This extends a recent result in [the second author, Electron. J. Differ. Equ. 2005, Paper No. 138, 18 p. (2005; Zbl 1087.35528)] where a recurrent sequence converges at a rate of order 2.
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6013214
zbMATH Keywords: one space dimension
Wikidata QID: Q58686824
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/679528
OpenAlex ID: W2063567151
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description: scientific article; zbMATH DE number 6013214