On Approximate Solution of a Nonlinear Static Beam Equations

Author: archil papukashvili
Co-authors: Giorgi Papukashvili, Jemal Peradze
Keywords: Kirchhoff type static beam, nonlinear integal equation, Green’s function, Picard iteration method, numerical realization.
Annotation:

In the present paper we consider approximate solution issues for nonlinear boundary value problem for the Kirchhoff type static beam. The problem is reduced by means of Green’s function to a nonlinear integral equation. To solve this problem we use the Picard type iterative method. For both of these problems are constructed the new algorithms of approximate solutions and numerical experiments are executed. The results of computations are presented by tables and diagram.