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A study of the stability for a generalized finite-difference scheme applied to the advection–diffusion equation

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  • Tinoco-Guerrero, G.
  • Domínguez-Mota, F.J.
  • Tinoco-Ruiz, J.G.

Abstract

A great number of phenomena can be modelled by using evolution equations. These equations can model different behaviors according to the problem of interest. The advection–diffusion equation models the dispersion of pollutants in water bodies such as rivers, lakes, and groundwater.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:176:y:2020:i:c:p:301-311
    DOI: 10.1016/j.matcom.2020.01.020
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Biswas, Chetna & Singh, Anup & Chopra, Manish & Das, Subir, 2023. "Study of fractional-order reaction-advection-diffusion equation using neural network method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 15-27.
    2. Clain, S. & Figueiredo, J., 2024. "Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 49-78.

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