The 2^nd, 4^th, and 6^th-Order Finite Difference Schemes for Pollutant Transport Equation

DOI

10.2991/assehr.k.210508.038How to use a DOI?

Keywords

Pollutant transport, Advection-diffusion equation, FTCS

Abstract

In this paper, we study the pollutant transport phenomenon using an advection-diffusion equation. To solve the model numerically, we apply the finite difference method. Here we use the second, fourth, and sixth-order explicit finite difference schemes. To validate our numerical models, we compare the numerical results with the existing analytical solution. Further, we conclude that the methods can best approximate the exact solution when using a small Courant number and spatial grid partition. Amongst the three finite difference methods, we observe that the fourth-order FTCS is the best method to simulate the pollutant transport phenomena.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Nadhira Karima
AU  - Ikha Magdalena
PY  - 2021
DA  - 2021/05/11
TI  - The 2ⁿd, 4th, and 6th-Order Finite Difference Schemes for Pollutant Transport Equation
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 29
EP  - 33
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.038
DO  - 10.2991/assehr.k.210508.038
ID  - Karima2021
ER  -