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Keywords
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variant Functions, Non-Linear Difference Equations, Non-homogenuous difference equation, Discrete additive
derivative, Discrete multiplicative derivative.
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Abstract
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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 consider and solve these types of equations that are non-homogeneous and non-linear. The solving method is performed
using by multiplicative discrete and continuous differential equations. Then by using the concept of discrete derivative, the
analytical method and analytical solutions are given to linear and non-linear non-homogeneous difference and differential
equations. Finally some examples about applications of multiplicative models with numerical calculations and geometrical
graphs are presented.
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