Numerical Techniques for Conservation Laws with Source Terms, MSc Dissertation (1998)
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@MISC{Hudson98numericaltechniques,
author = {Justin Hudson and Prof M. J. Baines},
title = {Numerical Techniques for Conservation Laws with Source Terms, MSc Dissertation},
year = {1998}
}
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Abstract
In this dissertation we will discuss the finite difference method for approximating conservation laws with a source term present which is considered to be a known function of x, t and u. Finite difference schemes for approximating conservation laws without a source term present are discussed and are adapted to approximate conservation laws with a source term present. First we consider the source term to be a function of x and t only and then we consider the source term to be a function of u also. Some numerical results of the different approaches are discussed throughout the dissertation and an overall comparison of
