Intuitive explanation of numerical diffusion with implicit scheme for advection equation

Ignacio Calderón, Wolfram Jahn

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.

How to Cite this Article

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

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.