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Engineering Mathematics Letters ISSN 2049-9337

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Eng. Math. Lett. 2022 (2022), Article ID 2

Intuitive explanation of numerical diffusion with implicit scheme for advection equation

Ignacio Calderón, Wolfram Jahn

PDF (355.0 KB) https://doi.org/10.28919/eml/7444

Abstract

We present a mathematical explanation about the false diffusion with an implicit scheme for advection equation using a Taylor approach. Typically for explain the numerical diffusion with an implicit scheme, it is explained using the Fourier approach as can be seen in the bibliographic review carried out in this paper.

Published
17 June 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Ignacio Calderón, Wolfram Jahn. 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

I. Calderón, W. Jahn, Intuitive explanation of numerical diffusion with implicit scheme for advection equation, Eng. Math. Lett. 2022 (2022), 2. https://doi.org/10.28919/eml/7444

BibTeX
@article{Calderón2022,
  author  = {Calderón, Ignacio and Jahn, Wolfram},
  title   = {Intuitive explanation of numerical diffusion with implicit scheme for advection equation},
  journal = {Eng. Math. Lett.},
  volume  = {2022},
  year    = {2022},
  pages   = {2},
  doi     = {10.28919/eml/7444}
}