On Numerics of One Dimensional Advection Equation by Workye Gelaw
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Date
2020-07-04
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Addis Ababa University
Abstract
This project provides a practical overview of numerical solutions to the linear
one dimensional Advection equation using finite difference method. It presents a
number of schemes for solution of Linear Advection equation, which are based on
the finite difference method, the finite element method and the method of characteristics.
It also allow the reader to experiment with the consistency, stability
and convergency of finite difference scheme for linear Advection equation and an
example with working Matlab code for the scheme is presented.
The aim of this project is to find an optimal and stable solution of a linear advection
equation problems that can not be solved analytically easily on a given interval using
finite difference methods.
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Keywords
Numerics, One Dimensional, Advection Equation, Workye Gelaw