A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam

Author:

Peradze Jemal1

Affiliation:

1. Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2 University St., 0143 Tbilisi, Georgia

Abstract

A boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some results for a p(x)-Kirchhoff type variation-inequality problems in non-divergence form;Open Mathematics;2023-01-01

2. A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation;International Journal of Computational Methods;2021-08-31

3. Iterative Solution of a Nonlinear Static Beam Equation;Ukrainian Mathematical Journal;2021-01

4. Iterative solution of a nonlinear static beam equation;Ukrains’kyi Matematychnyi Zhurnal;2020-08-18

5. Existence and uniqueness of positive solutions for Kirchhoff type beam equations;Electronic Journal of Qualitative Theory of Differential Equations;2020

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