Mathematics

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Browsing Mathematics by Subject "Advection Equation"

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    On Numerics of One Dimensional Advection Equation by Workye Gelaw
    (Addis Ababa University, 2020-07-04) Gelaw, Workye; Abdi, Tadesse (PhD)
    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.