TITLE:
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation
AUTHORS:
Huda O. Bakodah
KEYWORDS:
Advection Equation, Finite Difference Method, The Method of Lines, Von Neumann Method
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.1,
March
8,
2016
ABSTRACT: In this
paper, we describe a comparison of two spatial discretization schemes for the
advection equation, namely the first finite difference method and the method of
lines. The stability of the methods has been studied by Von Neumann method and
with the matrix analysis. The methods are applied to a number of test problems
to compare the accuracy and computational efficiency. We show that both
discretization techniques approximate correctly solution of advection equation
and compare their accuracy and performance.