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

Author

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

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.

Suggested Citation

  • Tinoco-Guerrero, G. & Domínguez-Mota, F.J. & Gaona-Arias, A. & Ruiz-Zavala, M.L. & Tinoco-Ruiz, J.G., 2018. "A stability analysis for a generalized finite-difference scheme applied to the pure advection equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 293-300.
    • Handle: RePEc:eee:matcom:v:147:y:2018:i:c:p:293-300
    DOI: 10.1016/j.matcom.2017.06.001
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    Cited by:

    1. Tinoco-Guerrero, G. & Domínguez-Mota, F.J. & Tinoco-Ruiz, J.G., 2020. "A study of the stability for a generalized finite-difference scheme applied to the advection–diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 301-311.

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