Abstarct: With the increase in the consumption of energy sources, natural gas pipelines and compression stations are also more and more complicated. Due to the length of pipelines, pressure and gas energy due to friction between the gas and the inner wall of the tube is lost, to overcome the energy loss in transmission lines, stations will be installed in the pipe line. Mathematical modeling is one of the most important tools used to assist the design and performance studies. In this study transient, compressible, isothermal and non-isothermal flow modeling equations solution by use implicit finite difference method. Implicit finite difference method, ensuring stability in the large time steps and this method for gas industry analyze is very useful. Nonlinear finite difference equations for pipe, Newton-Raphson method is used. In this study, the main network, including pipelines, pressure relief valves installed in stations and gas transmission lines, connecting nodes (nodes combining and dividing) and station pressure transient model has been. The simulation of gas transport network is to find conditions for reducing power consumption compressor. In all equations used in addition to changes in pressure and temperature change rate is also considered. To validate the results of the comparison results with other scientific research, as well as the amounts recorded in the Razavi Compressor Station used.