A space-time domain RBF method for 2D wave equations

Autor: Fu-Zhang Wang, Ming-Yu Shao, Jia-Le Li, Zhong-Liang Zhang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Frontiers in Physics, Vol 11 (2023)
Druh dokumentu: article
ISSN: 2296-424X
DOI: 10.3389/fphy.2023.1241196
Popis: In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the numerical solution of the wave equation with a newly-proposed space-time radial basis function to enhance the numerical stability. The wave equation was discretized into equivalent algebraic equations. By specifying boundary and initial conditions, the wave propagation in a two-dimensional domain can be virtually reconstructed. Our results exhibit that the semi-analytical meshless method is suitable and efficient for solving multi-dimensional wave equations.
Databáze: Directory of Open Access Journals