Numerical Solutions for Partial Differential Equations of Conservation Laws
Abstract
The goal of this project, is to come up with a su cient background so thatwe can approach
the current literature of research possessing the necessary tools and detailed understanding.
We will concern ourselves with analyzing the discontinuous galerkin method (DGM)
by looking at its background and formulation. We will deal with the theory of mathematical
outlook of these equations rst and then solutions. This will cause us to emphasize
more on the tools of mathematics that are very important in the of development, analyzing
and successful utilization of the nite di erence method for the non-linear systems
of conservation laws, in particular for problems involving Shallow Water Equations. The
derivation of these equations will be provided. Also the shallow water equations will be
given in both conservative and non-conservative form. The main type of method used
in the approximation of di erential equations of this kind will be given i.e the nite difference
method. We will later formulate the solutions to the shallow water equation in
MATLAB.
Publisher
University of Nairobi
Subject
Equations of Conservation LawsRights
Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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