Comparison of Methods Using Finite Differences and Finite Elements are used to obtain Approximate Solutions for The Advection Equation

In this paper, we comparison of some approximate solutions for the Advection equation. This solutions built on numerical methods to obtain approximate others, depending on two different ways; the first is Finite Difference Methods, using Crank-Nicholson Method, and Implicit Logarithmic Finite Differences Method, and second is The Finite Elements Methods, throw modified cubic BSpline differential quadrature method using types for Basis functions (MCBDQM), (EMCB-DQM), and (Expo-MCB-DQM).