mGFD: A Meshless Generalized Finite Difference Method ...

• Main Authors: Tinoco-Guerrero, Gerardo, Domínguez-Mota, Francisco Javier, Guzmán-Torres, José Alberto, Pedraza-Jiménez, Gabriela, Tinoco-Ruiz, José Gerardo
• Format: Article in Journal/Newspaper
• Language: English
• Published: Code Ocean 2025
• Subjects: Capsule; Mathematics; FOS: Mathematics; Generalize Finite Differences; Meshless Generalized Finite Difference Method; Finite differences; Numerical solution; partial differential equation; Blue Lagoon; Iceland
• Online Access: https://dx.doi.org/10.24433/co.1635573.v1; https://codeocean.com/capsule/4770750/tree/v1

# mGFD: A Meshless Generalized Finite Difference Method Data and methods for numerically solving Partial Differential Equations using a meshless Generalized Finite Differences Scheme. All the codes are distributed under MIT License on [GitHub](https://github.com/gstinoco/mGFD) and are free to use, modify, and distribute giving the proper copyright notice. ## Description This repository proposes a way to achieve approximations to various Partial Differential Equations in two dimensions on highly irregular regions. For this, the proposed method uses a Generalized Finite Differences Method for the numerical solution on unstructured clouds of points. ## Data All the data were taken from Author's [Cloud-Generation Github Repository](https://github.com/gstinoco/Cloud-Generation). The data is free for anyone to use to compare the results using different methods with the same dataset. The following regions were considered for this repository: - **BAN**: Banderas bay in Mexico. - **BLU**: Blue Lagoon in Iceland. - ...