A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients

DOI10.1080/10236198.2021.1881069zbMath1476.65169OpenAlexW3129681319WikidataQ115296071 ScholiaQ115296071MaRDI QIDQ4991838

H. Saberi Najafi, Hossein Aminikhah, M. Esmailzadeh

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.1881069

zbMATH Keywords

convergenceconsistencyfinite difference methodasymptotic stabilityconvergence ratepiecewise constant arguments

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments ⋮ Stability analysis of second-order linear PDEs on time scales ⋮ Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods ⋮ One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments

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