On Numerics Of One Dimensional Advection Equation By Workye Gelaw

This project provides a practical overview of numerical solutions to the linearrnone dimensional Advection equation using finite difference method. It presents arnnumber of schemes for solution of Linear Advection equation, which are based onrnthe finite difference method, the finite element method and the method of characteristics.rnIt also allow the reader to experiment with the consistency, stabilityrnand convergency of finite difference scheme for linear Advection equation and anrnexample with working Matlab code for the scheme is presented.rnThe aim of this project is to find an optimal and stable solution of a linear advectionrnequation problems that can not be solved analytically easily on a given interval usingrnfinite difference methods.

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