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A numerical algorithm for the nonlinear Kirchhoff string equation

- J. Peradze
- Mathematics, Computer ScienceNumerische Mathematik
- 1 December 2005

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A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam

- J. Peradze
- Mathematics, Computer ScienceJ. Appl. Math.
- 30 August 2009

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… Expand

The existence of a solution and a numerical method for the Timoshenko nonlinear wave system

- J. Peradze
- Mathematics
- 2004

The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time… Expand

An Approximate Algorithm for a Kirchhoff Wave Equation

- J. Peradze
- Mathematics, Computer ScienceSIAM J. Numer. Anal.
- 1 April 2009

The initial boundary value problem for a hyperbolic-type quasilinear equation $w_{tt}=\varphi(\int_0^\pi w_x^2dx)w_{xx}$ is considered. Its solution is derived by means of a numerical algorithm… Expand

A numerical algorithm for the nonlinear Timoshenko beam system

- J. Peradze, Zviad Kalichava
- Mathematics
- 10 June 2020

On the approximate solution of a Kirchhoff type static beam equation

- J. Peradze
- Mathematics
- 1 September 2016

Abstract The paper deals with a boundary value problem for the nonlinear integro-differential equation u ⁗ − m ( ∫ 0 l u ′ 2 d x ) u ″ = f ( x , u ) , m ( z ) ≥ α > 0 , 0 ≤ z ∞ , modelling the static… Expand

A Kirchhoff type equation in a nonlinear model of shell vibration

- J. Peradze
- Mathematics
- 1 February 2017

The paper deals with the study of the initial boundary value problem for the Donnell-Mushtari-Vlasov nonlinear system of differential equations, which describes large deflections of a rectangular… Expand

Discussions of ``A Galerkin method for a nonlinear integro-differential wave system'' by I. Christie and J.M. Sanz-Serna, Comput. Meth. Appl. Mech. Engrg. 44 (1984) 229-237''

- J. Peradze
- Mathematics
- 1 October 2002

Iterative Solution of a Nonlinear Static Beam Equation

- G. Berikelashvili, A. Papukashvili, J. Peradze
- 4 January 2021

We consider a boundary-value problem for the nonlinear integrodifferential equation u ′ ′ ′ ′ − m ∫ 0 l u ′ 2 dx u ″ = f x u u ′ , m z ≥ α > 0 , 0 ≤ z < ∞ , $$ {u}^{\prime \prime \prime \prime… Expand

A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation

- N. Kachakhidze, J. Peradze, Z. Tsiklauri
- MathematicsInternational Journal of Computational Methods
- 31 August 2021

In this paper, an algorithm is proposed to find an approximate solution for the Kirchhoff -type nonlinear differential equation, which describes the static state of a beam. The solution of the… Expand

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