A High Order Iterative Scheme for a Nonlinear Kirchhoff Wave Equation in the Unit Membrane

A high-order iterative scheme is established in order to get a convergent sequence at a rate of order N (N≥1) to a local unique weak solution of a nonlinear Kirchhoff wave equation in the unit membrane. This extends a recent result in (EJDE, 2005, No. 138) where a recurrent sequence converges at a r...

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Bibliographic Details
Main Authors: Le Thi Phuong Ngoc, Nguyen Thanh Long
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/679528
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Summary:A high-order iterative scheme is established in order to get a convergent sequence at a rate of order N (N≥1) to a local unique weak solution of a nonlinear Kirchhoff wave equation in the unit membrane. This extends a recent result in (EJDE, 2005, No. 138) where a recurrent sequence converges at a rate of order 2.
ISSN:1687-9643
1687-9651