On Algorithm of Finding Solutions of Semiperiodical Boundary Value Problem for Systems of Nonlinear Hyperbolic Equations

Abstract

In this paper we consider a semi-periodical boundary value problem for a system of nonlinear hyperbolic equations in a rectangular domain. An algorithm for finding of approximate solution to the semi-periodical boundary value problem for the systems of nonlinear hyperbolic equation is offered. Conditions for the convergence of the approximate solutions to the exact solution of the semi-periodical boundary value problem for the system of nonlinear hyperbolic equations are established.