About an approximate solution of the non-linear dynamic J.Ball beam equation

Author: ana usupashvili
Keywords: non-linear, dynamic, beam, equation, approximate, solution.
Annotation:

The present bachelor thesis of Ana Usupashvili “About an approximate solution of the non-linear dynamic J.Ball beam equation” is devoted to some problems of computational mechanics. One effective algorithms for solving initial-boundary value problems for dynamic beam are constructed. Several numerical experiments were carried out to demonstrate the practical properties of the algorithms under consideration. In particular consider an initial-boundary value problem for the J.Ball integro-differential equation, which describes the dynamic state of a beam (see, [5]). The solution is approximated with respect to by the Galerkin method, stabile symmetrical difference scheme and Jacobi iteration method. The algorithm has been approved on tests. The results of recounts are represented in tables and graphics.