Iterative solution of a nonlinear static beam equation-Reference-Cited by-同舟云学术

Iterative solution of a nonlinear static beam equation

Published:2020-08-18 Issue:8 Volume:72 Page:1024-1033
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Berikelashvili G.,Papukashvili A.,Peradze J.

Abstract

UDC 519.6 The paper deals with a boundary-value problem for the nonlinear integro-differential equation modeling the static state of the Kirchhoff beam. The problem is reduced to a nonlinear integral equation, which is solved using the Picard iteration method. The convergence of the iteration process is established and the error estimate is obtained.

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

Reference10 articles.

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5. J. Peradze, A numerical algorithm for a Kirchhoff-type nonlinear static beam, J. Appl. Math., 2009, Article ID 818269 (2009), 12 p. https://doi.org/10.1155/2009/818269

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