RT Journal Article
T1 A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
A1 Benito, Juan José
A1 García, Ángel
A1 Negreanu Pruna, Mihaela
A1 Ureña, Francisco
A1 Vargas, Antonio M.
AB 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.
PB MPDI
SN 2227-7390
YR 2022
FD 2022-05-20
LK https://hdl.handle.net/20.500.14352/72513
UL https://hdl.handle.net/20.500.14352/72513
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Nacional de Educación a Distancia (UNED)
DS Docta Complutense
RD 6 oct 2024