On some slope-limiter methods for the linear advection equation
Abstract
In this paper, we propose two slope-limiter methods for solving hyperbolic conservation laws. The methods are developed through flux formulation with piecewise linear construction and applied to solve the Linear Advection Equation using two initial conditions. The results which were compared with those of the Lax-Wendroff method, and the minmod method demonstrate the accuracy of the proposed methods.
Copyright © 2016 T. Aboiyar, B.V. Iyorter. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Aboiyar, B. V. Iyorter, On some slope-limiter methods for the linear advection equation, J. Math. Comput. Sci. 6 (2016), 641–652.
BibTeX
@article{Aboiyar2016,
author = {Aboiyar, T. and Iyorter, B.V.},
title = {On some slope-limiter methods for the linear advection equation},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {641--652},
doi = {}
}