A High Order Iterative Scheme for a Nonlinear Kirchhoff Wave Equation in the Unit MembraneReport as inadecuate




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International Journal of Differential EquationsVolume 2011 2011, Article ID 679528, 31 pages

Research Article

Nhatrang Educational College, 01 Nguyen Chanh Street, Nhatrang City, Vietnam

Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Street, District 5, Ho Chi Minh City, Vietnam

Received 5 May 2011; Accepted 16 October 2011

Academic Editor: Bashir Ahmad

Copyright © 2011 Le Thi Phuong Ngoc and Nguyen Thanh Long. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Author: Le Thi Phuong Ngoc and Nguyen Thanh Long

Source: https://www.hindawi.com/



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