A meshless finite difference scheme applied to the numerical solution of wave equation in highly irregular space regions

DOI10.1016/j.camwa.2023.01.035OpenAlexW4319783555MaRDI QIDQ2697796

José Gerardo Tinoco-Ruiz, Heriberto Arias-Rojas, Gerardo Tinoco-Guerrero, José Alberto Guzmán-Torres, Ricardo Román-Gutiérrez

Publication date: 13 April 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.035

zbMATH Keywords

wave equationnumerical solutionmeshless methodirregular regionsgeneralize finite difference

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Uses Software

• Matlab
• DistMesh

Cites Work

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• Numerical solution of two-sided space-fractional wave equation using finite difference method
• Adaptive discrete harmonic grid generation
• A new time-space domain high-order finite-difference method for the acoustic wave equation
• A study of the stability for a generalized finite-difference scheme applied to the advection-diffusion equation
• Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
• An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium.
• Total variation diminishing Runge-Kutta schemes
• A Simple Mesh Generator in MATLAB
• A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation

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