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

G. Tinoco-Guerrero, F.J. Domínguez-Mota, A. Gaona-Arias, M.L. Ruiz-Zavala and J.G. Tinoco-Ruiz

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 147, issue C, 293-300

Abstract: 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.

Keywords: Stability analysis; Finite-difference; Advection equation; Irregular regions; Numerical solution of EDP’s (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:147:y:2018:i:c:p:293-300

DOI: 10.1016/j.matcom.2017.06.001

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