On Approximate Solution of a Nonlinear Static Beam Equations

摘要

In the present paper we consider the 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 the new algorithms of approximate solutions are constructed and numerical experiments are executed. The results of computations are presented in tables and diagrams.