Classical Finite Differences Schemes for numerically solve different Partial Differential Equations.
All the codes are distributed under MIT License on GitHub and are free to use, modify, and distribute giving the proper copyright notice.
This repository contains a variety of Classical Finite Differences Schemes to solve:
- Poisson Equation.
- Advection Equation.
- Diffusion Equation.
- Advection-Diffusion Equation.
It is possible to find all test data in the "Data" folder and some sample results in the "Results" folder.
All the codes presented were developed by:
-
Dr. Gerardo Tinoco Guerrero
Universidad Michoacana de San Nicolás de Hidalgo
Aula CIMNE-Morelia
gerardo.tinoco@umich.mx
https://orcid.org/0000-0003-3119-770X -
Dr. Francisco Javier Domínguez Mota
Universidad Michoacana de San Nicolás de Hidalgo
Aula CIMNE-Morelia
francisco.mota@umich.mx
https://orcid.org/0000-0001-6837-172X -
Dr. José Gerardo Tinoco Ruiz
Universidad Michoacana de San Nicolás de Hidalgo
jose.gerardo.tinoco@umich.mx
https://orcid.org/0000-0002-0866-4798 -
Dr. José Alberto Guzmán Torres
Universidad Michoacana de San Nicolás de Hidalgo
Aula CIMNE-Morelia
jose.alberto.guzman@umich.mx
https://orcid.org/0000-0002-9309-9390
-
Heriberto Arias Rojas
Universidad Michoacana de San Nicolás de Hidalgo
heriberto.arias@umich.mx
https://orcid.org/0000-0002-7641-8310 -
Gabriela Pedraza Jiménez
Universidad Michoacana de San Nicolás de Hidalgo
2220157h@umich.mx
https://orcid.org/0009-0002-8118-0260 -
Miguel Ángel Rodríguez Velázquez
Universidad Michoacana de San Nicolás de Hidalgo
miguel.rodriguez@umich.mx
https://orcid.org/0009-0009-7245-1517 -
Ricardo Román Gutiérrez
Universidad Michoacana de San Nicolás de Hidalgo
ricardo.roman@umich.mx
https://orcid.org/0000-0001-8521-9391
With the financing of:
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National Council of Humanities, Sciences and Technologies, CONAHCyT (Consejo Nacional de Humanidades, Ciencias y Tecnologías, CONAHCyT), México.
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Coordination of Scientific Research, CIC-UMSNH (Coordinación de la Investigación Científica de la Universidad Michoacana de San Nicolás de Hidalgo, CIC-UMSNH), México.
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Aula CIMNE-Morelia, México.