A stability analysis for a generalized finite-difference scheme applied to the pure advection equation

DOI10.1016/j.matcom.2017.06.001OpenAlexW2731242594MaRDI QIDQ1997087

A. Gaona-Arias, G. Tinoco-Guerrero, J. G. Tinoco-Ruiz, M. L. Ruiz-Zavala, Francisco Javier Domínguez-Mota

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2017.06.001

zbMATH Keywords

stability analysisfinite-differenceadvection equationirregular regionsnumerical solution of EDP's

Mathematics Subject Classification ID

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

Related Items (4)

Generalized finite difference method based meshless analysis for coupled two-phase porous flow and geomechanics ⋮ A study of the stability for a generalized finite-difference scheme applied to the advection-diffusion equation ⋮ Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method ⋮ Optimized low-dispersion and low-dissipation two-derivative Runge-Kutta method for wave equations

Cites Work

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• Application of the generalized finite difference method to solve the advection-diffusion equation
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• The finite difference method at arbitrary irregular grids and its application in applied mechanics

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