The development of gas turbine needs to studying and development
each of its components. In this paper we will focus on the study of
the compressor used in gas turbines. So we can study it we will be
using mathematical modeling, which aims to find
a mathematical
description of the system studied and study the dynamic behavior of
it in order to improve his performance, and use mathematical
modeling to save time and cost at the improvement and
development of products or in the case of the creation of new
products through simulation that enrich us all costly and timeconsuming
testing stations. Also it helps us to clarify the physical
phenomena or unwanted effects and enable us to determine the full
parameters required in accurate design.