Approximate solutions of telegraph equation

This work presents the study for the finding the approximation solutions of the Telegraph equation. The first section is talking about the introduction, review, history and the using of the partial differential equations. Next section shows the general concepts, and discusses the order, degree and some definitions of partial differential equations. Third section will give us information about the classification of partial differential equations. The fourth section is showing all information about the first and second order of partial differential equations, for the first order, four equations will be discussed which are linear, quasi linear equation, non-linear, semi-linear. For the second order wave equation and Laplace equation were given. At the last section, the most important case in this thesis will be discussed which is a new application of partial differential equations.