Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up

Abstract

Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite time blow up in solutions even if the inital data is smooth and well-defined for all times. In this article, Differential Transform (DT) method solutions of some linear wave equation with mixed nonlinear boundary conditions, its blow up and blow up of the energy equations are investigated.