مشخصات پژوهش

Abstract—Difference equations are discrete analogy of the differential equations. These equations appear in mathematical modeling of physics and engineering problems, economic and population subjects that deal with discrete data and variables. In this article, we will consider and solve these types of equations that are non-homogeneous. The solving method is performed using by multiplicative discrete differential equations. The importance of this method is that by using the concept of discrete derivative, the analytical method and analytical solutions are given to linear and non -linear difference equations. Index Terms—Invariant Functions, Non- Linear Difference Equations, Discrete additive derivative, Discrete multiplicative