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J. Math. Comput. Sci. 10 (2020), 2164–2190

Central finite-difference of numerical solution for three-dimensional atmospheric transport equation

Mayckol Jimenez Huayama, Obidio Rubio Mercedes, Luis Jhony Caucha Morales

Abstract

The energy transport equation is fundamental for the meteorological analysis; in this work, we analyze this equation in three dimensions using the methods of central finite differences; the analysis of convergence, consistency, and stability of the scheme shows a strong dependence of space and temporal variables. In conclusion, with the central finite differences was possible to predict the three-dimensional dynamics of the temperature.

Published
24 August 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Mayckol Jimenez Huayama, Obidio Rubio Mercedes, Luis Jhony Caucha Morales. 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

M. J. Huayama, O. R. Mercedes, L. J. Caucha Morales, Central finite-difference of numerical solution for three-dimensional atmospheric transport equation, J. Math. Comput. Sci. 10 (2020), 2164–2190. https://doi.org/10.28919/jmcs/4848

BibTeX
@article{Huayama2020,
  author  = {Huayama, Mayckol Jimenez and Mercedes, Obidio Rubio and Caucha Morales, Luis Jhony},
  title   = {Central finite-difference of numerical solution for three-dimensional atmospheric transport equation},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {2164--2190},
  doi     = {10.28919/jmcs/4848}
}