A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs



Downloads per month over past year

Benito, Juan José and García, Ángel and Negreanu, Mihaela and Ureña, Francisco and Vargas, Antonio M. (2022) A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs. Mathematics, 10 (11). p. 1870. ISSN 2227-7390

[thumbnail of mathematics-10-01870-v2.pdf]
Creative Commons Attribution.


Official URL: https://doi.org/10.3390/math10111870


We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method, more precisely, the generalized finite difference method (GFDM), which allows us to select well-conditioned stars. Several 2D and 3D examples, including the time variable, are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.

Item Type:Article
Uncontrolled Keywords:generalized finite differences; meshless method; parabolic partial differential equations
Subjects:Sciences > Mathematics
Sciences > Mathematics > Functions
ID Code:75114
Deposited On:17 Oct 2022 13:20
Last Modified:17 Oct 2022 13:44

Origin of downloads

Repository Staff Only: item control page