A stability analysis for a generalized finite-difference scheme applied to the pure advection equation

This paper deals with a stability analysis for a finite-difference approximation of the pure advection equation which is solved on non-rectangular regions using convex and logically rectangular grids. The analysis is derived as a natural extension to that of the Lax–Wendroff and Lax–Friedrichs schem...

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Bibliographic Details
Published in:Mathematics and computers in simulation 2018-05, Vol.147, p.293-300
Main Authors: Tinoco-Guerrero, G., Domínguez-Mota, F.J., Gaona-Arias, A., Ruiz-Zavala, M.L., Tinoco-Ruiz, J.G.
Format: Article
Language:English
Subjects:
Advection equation
Finite-difference
Irregular regions
Numerical solution of EDP’s
Stability analysis
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Summary:This paper deals with a stability analysis for a finite-difference approximation of the pure advection equation which is solved on non-rectangular regions using convex and logically rectangular grids. The analysis is derived as a natural extension to that of the Lax–Wendroff and Lax–Friedrichs schemes for the same kind of regions.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2017.06.001